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The page provides a sequence of problems in variables (e.g., x, a, p, m, b, r, k) with exponential expressions and constants, asking students to solve each equation. The content emphasizes algebraic manipulation of exponents and equality relations across multiple formats, supporting practice and assessment of exponential equation solving skills without log transformations.",{"@graph":69,"@context":114},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/exponential-equations-not-requiring-logarithms-solve-each-equation/522644/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/exponential-equations-not-requiring-logarithms-solve-each-equation/522644.png","ImageObject",300,407,{"name":92,"@type":93},"Valentina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108],{"name":109,"@type":110,"acceptedAnswer":111},"What is the main task for the student?","Question",{"text":112,"@type":113},"For each listed item, solve the exponential equation for the given variable(s).","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},522644,1791496669,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":131,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":67,"update_tm":135,"read_time":52,"preview_page_count":4},13056703020460,"https://ap-avatar.wpscdn.com/avatar/be000253dac470eee5d?_k=1778207105932848923","Kuta Software-Infinite Algebra 2 Name   \nExponential Equations Not Requiring Logarithms Date  Period   \nSolve each equation.  \n1) 42x + 3 = 1 2) 53 − 2x = 5−x  \n3) 31 − 2x = 243 4) 32a = 3−a  \n5) 43x − 2 = 1 6) 42 p = 4−2 p − 1  \n7) 6−2a = 62 − 3a 8) 22x + 2 = 23x  \n9) 63m ⋅ 6 −m = 6 −2m  2 x  \n10) = 2−2x  \n2 x  \n−3x x  1  12) 3 −2x + 1 ⋅ 3 −2x − 3 = 3 −x  \n11) 10 ⋅ 10 =  \n10  \n13) 4−2x ⋅ 4 x = 64 14) 6 −2x ⋅ 6−x = ~~ ~~2116  \nx  1  16) 2 −3 p ⋅ 22 p = 22 p  \n15) 2 ⋅ = 32  \n32  \n17) 64 ⋅ 16−3x = 163x − 2 813n + 2 4  \n18) ~~ ~~ = 3  \n243−n  \n19) 81 ⋅ 9−2b − 2 = 27 20) 9 −3x ⋅ 9 x = 27  \n21) (~~ ~~16) 3x + 2 ⋅ 2163x = ~~ ~~2116~~ ~~ 22) 243 k + 2 ⋅ 92k − 1 = 9  \n23) 16 r ⋅ 643 − 3r = 64 24) 162 p − 3 ⋅ 4−2 p = 24  \nKuta Software-Infinite Algebra 2 Name   \nExponential Equations Not Requiring Logarithms Date  Period   \nSolve each equation.  \n1) 42x + 3 = 1 2) 53 − 2x = 5−x  \n{− ~~ ~~32~~ ~~ } {3}  \n3) 31 − 2x = 243  \n{−2}  \n5) 43x − 2 = 1  \n{~~ ~~23~~ ~~ }  \n7) 6−2a = 62 − 3a  \n{2}  \n9) 63m ⋅ 6 −m = 6 −2m  \n{0}  \n−3x x 1 11) 10 ⋅ 10 =  10  \n{~~ ~~12~~ ~~ }  \n4) 32a = 3−a  \n{0}  \n6) 42 p = 4−2 p − 1  \n{− ~~ ~~14~~ ~~ }  \n8) 22x + 2 = 23x  \n{2}  \n10) 22xx = 2−2x  \n{0}  \n12) 3 −2x + 1 ⋅ 3 −2x − 3 = 3 −x  \n{− ~~ ~~23~~ ~~ }  \n13) 4−2x ⋅ 4 x = 64  \n{−3}  \nx 1  \n15) 2 ⋅  32 = 32  \n{10}  \n17) 64 ⋅ 16−3x = 163x − 2  \n{~~ ~~712~~ ~~ }  \n19) 81 ⋅ 9−2b − 2 = 27  \n{− ~~ ~~34~~ ~~ }  \n21) (~~ ~~16) 3x + 2 ⋅ 2163x = ~~ ~~2116  \n{− ~~ ~~16~~ ~~ }  \n23) 16 r ⋅ 643 − 3r = 64  \n{~~ ~~67~~ ~~ }  \n−2x −x 1  \n14) 6 ⋅ 6 =  216  \n{1}  \n16) 2 −3 p ⋅ 22 p = 22 p  \n{0}  \n813n + 2 4  \n18) ~~ ~~ = 3  \n243−n  \n{− ~~ ~~417~~ ~~ }  \n20) 9 −3x ⋅ 9 x = 27  \n{− ~~ ~~34~~ ~~ }  \n22) 243 k + 2 ⋅ 92k − 1 = 9  \n{ ~~ ~~  \n− 23 }  \n24) 162 p − 3 ⋅ 4−2 p = 24  \n{4}  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCailnbCsk46zuE","https://ap.wps.com/l/cbCailnbCsk46zuE","pdf",34065,"English","# Solve each equation\n## Problem set 1-24","[{\"question\":\"What is the main task for the student?\",\"answer\":\"For each listed item, solve the exponential equation for the given variable(s).\"}]","Exponential Equations Not Requiring Logarithms - Solve Each Equation | PDF",1791426013]