[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522705-105":59,"doc-detail-522705-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","logarithmic-equations-infinite-algebra-2-worksheets","Logarithmic Equations - Infinite Algebra 2 Worksheets","","Algebra 2 logarithmic equations worksheet titled “Logarithmic Equations” for Infinite Algebra 2 practice. The problems instruct students to solve each logarithmic equation, including forms where logarithms share the same base and expressions are set equal. The set includes both log and natural log equations, with variables appearing inside log arguments and requiring domain checks before simplifying and solving for x or related variables.",{"@graph":69,"@context":122},[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/logarithmic-equations-infinite-algebra-2-worksheets/522705/",{"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/logarithmic-equations-infinite-algebra-2-worksheets/522705.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What do the instructions on the worksheet ask you to do?","Question",{"text":112,"@type":113},"Solve each listed logarithmic equation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are both log and ln (natural logarithm) problems included?",{"text":117,"@type":113},"Yes. The worksheet contains equations written with “log” and others written with “ln”.",{"name":119,"@type":110,"acceptedAnswer":120},"Do the equations require checking the validity of the expressions inside logarithms?",{"text":121,"@type":113},"Yes. Because logarithms have restrictions on their arguments, solutions must respect those domain conditions.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},522705,1791710561,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name   \nLogarithmic Equations Date  Period   \nSolve each equation.  \n1) log 5x = log (2x + 9) 2) log (10 − 4x) = log (10 − 3x)  \n3) log (4 p − 2) = log (−5 p + 5) 4) log (4k − 5) = log (2k − 1)  \n5) log (−2a + 9) = log (7 − 4a) 6) 2 log 7 −2r = 0  \n7) −10 + log 3 (n + 3) = −10 8) −2 log 5 7x = 2  \n9) log −m + 2 = 4 10) −6 log 3 (x − 3) = −24  \n11) log 12 (v2 + 35) = log 12 (−12v − 1) 12) log 9 (−11x + 2) = log 9 (x2 + 30)  \n13) log (16 + 2b) = log (b2 − 4b) 14) ln (n2 + 12) = ln (−9n − 2)  \n15) log x + log 8 = 2 16) log x − log 2 = 1  \n17) log 2 + log x = 1 18) log x + log 7 = log 37  \n19) log 8 2 + log 8 4x2 = 1 20) log 9 (x + 6) − log 9 x = log 9 2  \n21) log 6 (x + 1) − log 6 x = log 6 29 22) log 5 6 + log 5 2x2 = log 5 48  \n23) ln 2 − ln (3x + 2) = 1 24) ln (−3x − 1) − ln 7 = 2  \n25) ln (x − 3) − ln (x − 5) = ln 5 26) ln (4x + 1) − ln 3 = 5  \nKuta Software-Infinite Algebra 2 Logarithmic Equations  \nSolve each equation.  \n1) log 5x = log (2x + 9)  \n{3}  \nName___________________________________  \nDate________________ Period____  \n2) log (10 − 4x) = log (10 − 3x)  \n{0}  \n3) log (4 p − 2) = log (−5 p + 5)  \n{~~ ~~79~~ ~~ }  \n5) log (−2a + 9) = log (7 − 4a)  \n{−1}  \n7) −10 + log 3 (n + 3) = −10  \n{−2}  \n9) log −m + 2 = 4  \n{−100}  \n4) log (4k − 5) = log (2k − 1)  \n{2}  \n6) 2 log 7 −2r = 0  \n{− ~~ ~~12~~ ~~ }  \n8) −2 log 5 7x = 2  \n{~~ ~~315~~ ~~ }  \n10) −6 log 3 (x − 3) = −24  \n{84}  \n11) log 12 (v2 + 35) = log 12 (−12v − 1)  \n{−6}  \n12) log 9 (−11x + 2) = log 9 (x2 + 30)  \n{−7, −4}  \n13) log (16 + 2b) = log (b2 − 4b) 14) ln (n2 + 12) = ln (−9n − 2)  \n{8, −2} {−2, −7}  \n15) log x + log 8 = 2 16) log x − log 2 = 1  \n{~~ ~~252~~ ~~ } {20}  \n17) log 2 + log x = 1 18) log x + log 7 = log 37  \n{5} {~~ ~~377~~ ~~ }  \n19) log 8 2 + log 8 4x2 = 1 20) log 9 (x + 6) − log 9 x = log 9 2  \n{1, −1} {6}  \n21) log 6 (x + 1) − log 6 x = log 6 29 22) log 5 6 + log 5 2x2 = log 5 48  \n{~~ ~~218~~ ~~ } {2, −2}  \n23) ln 2 − ln (3x + 2) = 1 24) ln (−3x − 1) − ln 7 = 2  \n{~~ ~~2~~ ~~−3e2e~~ ~~ } {~~ ~~−7e23~~ ~~−~~ ~~1~~ ~~ }  \n25) ln (x − 3) − ln (x − 5) = ln 5 26) ln (4x + 1) − ln 3 = 5  \n{~~ ~~112~~ ~~ } {~~ ~~3e54−~~ ~~1~~ ~~ }  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaidpDtqE2vwDH","https://ap.wps.com/l/cbCaidpDtqE2vwDH","pdf",34302,"English","# Solve each equation\n## Log equations\n## Natural log equations","[{\"question\":\"What do the instructions on the worksheet ask you to do?\",\"answer\":\"Solve each listed logarithmic equation.\"},{\"question\":\"Are both log and ln (natural logarithm) problems included?\",\"answer\":\"Yes. The worksheet contains equations written with “log” and others written with “ln”.\"},{\"question\":\"Do the equations require checking the validity of the expressions inside logarithms?\",\"answer\":\"Yes. Because logarithms have restrictions on their arguments, solutions must respect those domain conditions.\"}]","Logarithmic Equations - Infinite Algebra 2 Worksheets | PDF",1791426080]