{"id":30228,"date":"2024-12-22T04:51:27","date_gmt":"2024-12-22T03:51:27","guid":{"rendered":"https:\/\/xmau.com\/wp\/notiziole\/?p=30228"},"modified":"2024-12-22T16:23:52","modified_gmt":"2024-12-22T15:23:52","slug":"quizzino-della-domenica-potenze","status":"publish","type":"post","link":"https:\/\/xmau.com\/wp\/notiziole\/2024\/12\/22\/quizzino-della-domenica-potenze\/","title":{"rendered":"Quizzino della domenica: Potenze"},"content":{"rendered":"<div class='__iawmlf-post-loop-links' style='display:none;' data-iawmlf-post-links='[{&quot;id&quot;:965,&quot;href&quot;:&quot;https:\\\/\\\/xmau.com\\\/quizzini\\\/p727.html&quot;,&quot;archived_href&quot;:&quot;http:\\\/\\\/web-wp.archive.org\\\/web\\\/20250624100552\\\/https:\\\/\\\/xmau.com\\\/quizzini\\\/p727.html&quot;,&quot;redirect_href&quot;:&quot;&quot;,&quot;checks&quot;:[{&quot;date&quot;:&quot;2026-02-12 00:53:34&quot;,&quot;http_code&quot;:206},{&quot;date&quot;:&quot;2026-02-18 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19:15:35&quot;,&quot;http_code&quot;:429},&quot;process&quot;:&quot;done&quot;}]'><\/div>\n<p>Sapendo che 2<sup>2<\/sup> \u00d7 3<sup>5<\/sup> = 972, e definendo \u03b1 = log<sub>10<\/sub> 2, \u03b2 = log<sub>10<\/sub> 3, \u03b3 = log<sub>10<\/sub> 7, quale di questi cinque numeri \u00e8 pi\u00f9 vicino a una potenza di 10? <\/p>\n<p>(a) 2\u03b2<br \/>\n(b) 5\u03b1 + \u03b2<br \/>\n(c) \u03b1 + 2\u03b3<br \/>\n(d) 2\u03b1 + 5\u03b2<br \/>\n(e) 2\u03b1 + \u03b2 + \u03b3<\/p>\n<p><!-- Scriveteli tutti come somma di un intero e di un logaritmo tra 1 e 10. --><br \/>\n<small>(trovate un aiutino sul mio sito, alla pagina <a href=\"https:\/\/xmau.com\/quizzini\/p727.html\">https:\/\/xmau.com\/quizzini\/p727.html<\/a>; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema da <a href=\"https:\/\/mindyourdecisions.com\/blog\/2024\/12\/14\/oxford-mat-2023-two-nice-questions\/\">Mind Your Decisions<\/a>; immagine di Conscious, da <a href=\"https:\/\/commons.wikimedia.org\/wiki\/Image:Log_paper.svg\">Wikimedia Commons<\/a>.)<\/small><\/p>\n<p><!-- Scriviamo i numeri come somma di un intero e di un logaritmo in base 10 di un numero tra 1 e 10. Per semplicit\u00e0, non indico che il logaritmo \u00e8 in base 10.\n(a) 2 log 3 = log 9\n(b) 5 log 2 + log 3 = log 32 + log 3 = log 96 = 1 + log 9,6\n(c) log 2 + 2 log 7 = log 2 + log 39 = log 98 = 1 + log 9,8\n(d) 2 log 2 + 5 log 3 = log 972 = 2 + log 9,72\n(e) 2 log 2 + log 3 + log 7 = log (4 \u00d7 3 \u00d7 7) = log 84 = 1 + log 8,4\nQuindi la risposta \u00e8 (c).  --><br \/>\n<!-- Pensate che da ragazzo io avevo imparato a memoria le approssimazioni log 2 = 0,30103, log 3 = 0,47712, log 7 = 0,84510... --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sapendo che 22 \u00d7 35 = 972, e definendo \u03b1 = log10 2, \u03b2 = log10 3, \u03b3 = log10 7, quale di questi cinque numeri \u00e8 pi\u00f9 vicino a una potenza di 10? (a) 2\u03b2 (b) 5\u03b1 + \u03b2 (c) \u03b1 + 2\u03b3 (d) 2\u03b1 + 5\u03b2 (e) 2\u03b1 + \u03b2 + \u03b3 (trovate [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"no","jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":3,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"federated","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[74,973],"tags":[],"class_list":["post-30228","post","type-post","status-publish","format-standard","hentry","category-giochi","category-giochi-2024"],"modified_by":".mau.","jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p6hcSh-7Ry","jetpack-related-posts":[{"id":33652,"url":"https:\/\/xmau.com\/wp\/notiziole\/2025\/09\/17\/come-generare-punti-casuali-dentro-un-triangolo\/","url_meta":{"origin":30228,"position":0},"title":"Come generare punti casuali dentro un triangolo","author":".mau.","date":"2025-09-17","format":false,"excerpt":"pensare matematicamente aiuta a trovare soluzioni migliori","rel":"","context":"In &quot;mate-light-2025&quot;","block_context":{"text":"mate-light-2025","link":"https:\/\/xmau.com\/wp\/notiziole\/category\/matematica_light\/matelight-2025\/"},"img":{"alt_text":"un triangolo generato casualmente con coordinate baricentriche.","src":"https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2025\/09\/triangle-bari.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2025\/09\/triangle-bari.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2025\/09\/triangle-bari.jpg?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":2997,"url":"https:\/\/xmau.com\/wp\/notiziole\/2004\/06\/23\/chiarezza_innanzitutto\/","url_meta":{"origin":30228,"position":1},"title":"Chiarezza innanzitutto","author":".mau.","date":"2004-06-23","format":false,"excerpt":"Con la bolletta della luce mi sono arrivate una letterina di Paolo Limiti e il messaggio pi\u00f9 burosaurico della mia vita [Leggi...]","rel":"","context":"In &quot;y2004_pipponi&quot;","block_context":{"text":"y2004_pipponi","link":"https:\/\/xmau.com\/wp\/notiziole\/category\/y2004_pipponi\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":23168,"url":"https:\/\/xmau.com\/wp\/notiziole\/2022\/01\/02\/quizzino-della-domenica-alla-caccia-dellangolo\/","url_meta":{"origin":30228,"position":2},"title":"Quizzino della domenica: Alla caccia dell&#8217;angolo","author":".mau.","date":"2022-01-02","format":false,"excerpt":"Il triangolo isoscele in figura \u00e8 stato suddiviso in quattro triangolini anch'essi isosceli. Quanto vale l'angolo \u03b1 mostrato in figura? (trovate un aiutino sul mio sito, alla pagina http:\/\/xmau.com\/quizzini\/p557.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema di Catriona Agg)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/wp\/notiziole\/category\/giochi\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2021\/10\/q557a.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2021\/10\/q557a.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2021\/10\/q557a.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":19643,"url":"https:\/\/xmau.com\/wp\/notiziole\/2019\/12\/09\/eh-si-i-siti-porno\/","url_meta":{"origin":30228,"position":3},"title":"eh s\u00ec, i siti porno&#8230;","author":".mau.","date":"2019-12-09","format":false,"excerpt":"Avete presente quelle mail in cui ti dicono che ti hanno cuccato sui siti porno e ti chiedono soldi (rectius, bitcoin) per mantenere il segreto? Bene: \"H\u03b1cke\u0157 \u03b1nonimo\" mi ha scritto ieri, dicendo tra l'altro Ho il file video - Mcodogno.mp4 - con te che ti m\u03b1sturbi agli adolescenti Tralasciamo\u2026","rel":"","context":"In &quot;spam_phishing&quot;","block_context":{"text":"spam_phishing","link":"https:\/\/xmau.com\/wp\/notiziole\/category\/spam_phishing\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":20000,"url":"https:\/\/xmau.com\/wp\/notiziole\/2020\/02\/14\/carnevale-della-matematica-137-quasi-goto-rudi-matematici\/","url_meta":{"origin":30228,"position":4},"title":"Carnevale della matematica #137 (quasi): GOTO Rudi Matematici!","author":".mau.","date":"2020-02-14","format":false,"excerpt":"Perch\u00e9 il \"quasi\" nel titolo? Semplice. Quei mattacchioni dei Rudi Mathematici (e no, non \u00e8 un refuso che nel titolo manchi l'acca che c'\u00e8 invece qua) hanno ben pensato di denominare il carnevale in questione come 1\/\u03b1. Immagino sapevate tutti che quell'alfa indica la costante di struttura fine; quello che\u2026","rel":"","context":"In &quot;link&quot;","block_context":{"text":"link","link":"https:\/\/xmau.com\/wp\/notiziole\/category\/link\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":33844,"url":"https:\/\/xmau.com\/wp\/notiziole\/2025\/10\/19\/quizzino-della-domenica-potenze-2\/","url_meta":{"origin":30228,"position":5},"title":"Quizzino della domenica: potenze","author":".mau.","date":"2025-10-19","format":false,"excerpt":"770 - algebra Se 2a + 2b + 2c + 2d = 201\/16, e a, b, c, d sono interi (non necessariamente distinti), quanto vale abcd? (trovate un aiutino sul mio sito, alla pagina https:\/\/xmau.com\/quizzini\/p770.html; la risposta verr\u00e0 postata l\u00ec il prossimo mercoled\u00ec. Problema da Math World.)","rel":"","context":"In &quot;giochi&quot;","block_context":{"text":"giochi","link":"https:\/\/xmau.com\/wp\/notiziole\/category\/giochi\/"},"img":{"alt_text":"2^a + 2^b + 2^c + 2^d = 201\/16","src":"https:\/\/i0.wp.com\/xmau.com\/wp\/notiziole\/wp-content\/uploads\/sites\/6\/2025\/10\/q770a.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]}],"jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/posts\/30228","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/comments?post=30228"}],"version-history":[{"count":4,"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/posts\/30228\/revisions"}],"predecessor-version":[{"id":30243,"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/posts\/30228\/revisions\/30243"}],"wp:attachment":[{"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/media?parent=30228"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/categories?post=30228"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xmau.com\/wp\/notiziole\/wp-json\/wp\/v2\/tags?post=30228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}