[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523509-105":59,"doc-detail-523509-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","logarithmic-equations-solve-each-equation","Logarithmic Equations - Solve each equation","","Worksheet on solving logarithmic equations, labeled “Logarithmic Equations” within an Infinite Precalculus set. The tasks instruct students to solve each given equation and round solutions to the nearest ten-thousandth. Problems include multiple forms of logarithms using log and ln, with nested expressions, variable arguments, and equality relationships that require algebraic manipulation and domain awareness to find valid solutions.",{"@graph":69,"@context":123},[70,84,106],{"@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-solve-each-equation/523509/",{"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-solve-each-equation/523509.png","ImageObject",300,407,{"name":92,"@type":93},"OmBimo","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What instruction does the worksheet give for solving the equations?","Question",{"text":113,"@type":114},"Solve each logarithmic equation and round answers to the nearest ten-thousandth.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which functions are used in the problems?",{"text":118,"@type":114},"The worksheet uses both log (base 10) and ln (natural logarithm) in different equations.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the main skill required to complete the worksheet?",{"text":122,"@type":114},"Algebraically transform logarithmic equations to isolate the variable while ensuring the logarithm arguments are valid.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523509,1791519230,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},962090893581,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Name   \nLogarithmic Equations Date  Period   \nSolve each equation. Round your answers to the nearest ten-thousandth.  \n1) log x 􀀐 log 􀀕 􀀠 log 􀀔􀀚 2) log 􀀛 􀀎 log x 􀀠 􀀔  \n3) log 􀀖 􀀎 log x 􀀠 􀀕 4) log x 􀀐 log 􀀕 􀀠 􀀔  \nSolve each equation.  \n5) log 􀀛 (x 􀀕 􀀐 􀀔) 􀀐 log 􀀛 􀀖 􀀠 􀀔 6) log 􀀖 x 􀀕 􀀐 log 􀀖 􀀠 􀀕  \n7) log 􀀛 􀀗x 􀀐 log 􀀛 􀀘 􀀠 log 􀀛 􀀖􀀜 8) log 􀀚 (x 􀀎 􀀗) 􀀐 log 􀀚 x 􀀠 􀀖  \n9) ln (􀀘 􀀐 􀀕x) 􀀎 ln 􀀜 􀀠 􀀗 10) ln (􀀖x 􀀐 􀀔) 􀀎 ln 􀀗 􀀠 ln 􀀔􀀘  \n11) ln (􀀔􀀓 􀀐 􀀕x 􀀕 ) 􀀐 ln 􀀘 􀀠 ln 􀀕 12) ln 􀀘 􀀐 ln (􀀗 􀀐 􀀗x) 􀀠 ln 􀀖􀀖  \nKuta Software-Infinite Precalculus Name   \nLogarithmic Equations Date  Period   \nSolve each equation. Round your answers to the nearest ten-thousandth.  \n1) log x 􀀐 log 􀀕 􀀠 log 􀀔􀀚 2) log 􀀛 􀀎 log x 􀀠 􀀔  \n􀁞􀀖􀀗􀁠 􀁞􀀔􀀑􀀕􀀘􀁠  \n3) log 􀀖 􀀎 log x 􀀠 􀀕 4) log x 􀀐 log 􀀕 􀀠 􀀔  \n􀁞􀀖􀀖􀀑􀀖􀀖􀀖􀀖􀁠 􀁞􀀕􀀓􀁠  \nSolve each equation.  \n5) log 􀀛 (x 􀀕 􀀐 􀀔) 􀀐 log 􀀛 􀀖 􀀠 􀀔 6) log 􀀖 x 􀀕 􀀐 log 􀀖 􀀠 􀀕  \n􀁞 􀀘 , 􀀐􀀘 􀁠 􀁞􀀔􀀓 , 􀀐􀀔􀀓􀁠  \n7) log 􀀛 􀀗x 􀀐 log 􀀛 􀀘 􀀠 log 􀀛 􀀖􀀜 8) log 􀀚 (x 􀀎 􀀗) 􀀐 log 􀀚 x 􀀠 􀀖  \n􀁞~~ ~~􀀔~~ ~~􀀜􀀗~~ ~~􀀘~~ ~~ 􀁠 􀁞~~ ~~􀀔~~ ~~􀀕􀀚~~ ~~􀀔~~ ~~􀁠  \n9) ln (􀀘 􀀐 􀀕x) 􀀎 ln 􀀜 􀀠 􀀗 10) ln (􀀖x 􀀐 􀀔) 􀀎 ln 􀀗 􀀠 ln 􀀔􀀘  \n􀁞 ~~ ~~􀀐e􀀗􀀔~~ ~~~~ ~~􀀗􀀘~~ ~~􀁠 􀁞~~ ~~􀀔􀀔~~ ~~􀀜􀀕~~ ~~ 􀁠  \n11) ln (􀀔􀀓 􀀐 􀀕x 􀀕 ) 􀀐 ln 􀀘 􀀠 ln 􀀕  \n􀁞􀀓􀁠  \n12) ln 􀀘 􀀐 ln (􀀗 􀀐 􀀗x) 􀀠 ln 􀀖􀀖  \n􀁞~~ ~~􀀔􀀔~~ ~~􀀕􀀖􀀚􀀕~~ ~~ 􀁠  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCail0jFNCVPTPZ","https://ap.wps.com/l/cbCail0jFNCVPTPZ","pdf",22328,"English","# Solve each equation\n## Logarithmic equations (log and ln)","[{\"question\":\"What instruction does the worksheet give for solving the equations?\",\"answer\":\"Solve each logarithmic equation and round answers to the nearest ten-thousandth.\"},{\"question\":\"Which functions are used in the problems?\",\"answer\":\"The worksheet uses both log (base 10) and ln (natural logarithm) in different equations.\"},{\"question\":\"What is the main skill required to complete the worksheet?\",\"answer\":\"Algebraically transform logarithmic equations to isolate the variable while ensuring the logarithm arguments are valid.\"}]","Logarithmic Equations - Solve each equation | PDF",1791426937]