[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522762-105":59,"doc-detail-522762-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","solving-exponential-equations-with-logarithms-worksheet","Solving Exponential Equations with Logarithms - Worksheet","","Practice worksheet for solving exponential equations involving logarithm-related forms. Twenty-six equations use variable bases and exponents (e.g., powers of e, expressions with single-letter variables such as b, r, n, v, x, a, m, k, p) arranged in a mix of positive and negative exponential terms. Students solve each equation and round solutions to the nearest ten-thousandth, covering multiple algebraic setups and simplifying outcomes to numeric answers.",{"@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/solving-exponential-equations-with-logarithms-worksheet/522762/",{"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/solving-exponential-equations-with-logarithms-worksheet/522762.png","ImageObject",300,407,{"name":92,"@type":93},"Damian","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",12,{"@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 exponential equation and round answers to the nearest ten-thousandth.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How many problems are included on the worksheet?",{"text":118,"@type":114},"The worksheet contains 26 equations to solve.",{"name":120,"@type":111,"acceptedAnswer":121},"What kinds of variables and exponential forms appear in the problems?",{"text":122,"@type":114},"The equations use variables such as b, r, n, v, x, a, m, and k, including expressions with powers of e and mixed positive/negative exponential terms.","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},522762,1791489542,{"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":19,"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":52,"preview_page_count":4},137451208677,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Exponential Equations with Logarithms Date________________ Period____  \nSolve each equation. Round your answers to the nearest ten-thousandth.  \n1) 3 b = 17 2) 12 r = 13  \n3) 9n = 49 4) 16 v = 67  \n5) 3a = 69 6) 6 r = 51  \n7) 6n = 99 8) 20 r = 56  \n9) 5 ⋅ 186x = 26 10) ex − 1 − 5 = 5  \n11) 9n + 10 + 3 = 81 12) 11n − 8 − 5 = 54  \n13) 16n − 7 + 5 = 24 14) 20−6n + 6 = 55  \n15) 5 ⋅ 63m = 20 16) 8−5a − 5 = 53  \n17) 3.4e2 − 2n − 9 = −4 18) −6e8n + 8 − 3 = −23  \n19) −e−3.9n − 1 − 1 = −3 20) −2e7v + 5 − 10 = −17  \n21) −3e7a + 9 + 6 = −6 22) −3e9x − 1 + 6 = −58  \n23) −e6 − 9 p + 5 = −48.4 24) −10e2 − 2b − 6 = −66  \n25) 6e−4k − 10 − 4 = 63 26) 6e5x − 6 − 4 = 50  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Exponential Equations with Logarithms Date________________ Period____  \nSolve each equation. Round your answers to the nearest ten-thousandth.  \n1) 3 b = 17 2) 12 r = 13  \n2.5789 1.0322  \n3) 9n = 49 4) 16 v = 67  \n1.7712 1.5165  \n5) 3a = 69 6) 6 r = 51  \n3.854 2.1944  \n7) 6n = 99 8) 20 r = 56  \n2.5646 1.3437  \n9) 5 ⋅ 186x = 26 10) ex − 1 − 5 = 5  \n0.0951 3.3026  \n11) 9n + 10 + 3 = 81  \n−8.0172  \n12) 11n − 8 − 5 = 54 9.7005  \n13) 16n − 7 + 5 = 24 14) 20−6n + 6 = 55  \n8.062 −0.2165  \n15) 5 ⋅ 63m = 20 16) 8−5a − 5 = 53  \n0.2579 −0.3905  \n17) 3.4e2 − 2n − 9 = −4 18) −6e8n + 8 − 3 = −23  \n0.8072 −0.8495  \n19) −e−3.9n − 1 − 1 = −3 20) −2e7v + 5 − 10 = −17  \n−0.4341 −0.5353  \n21) −3e7a + 9 + 6 = −6 22) −3e9x − 1 + 6 = −58  \n−1.0877 0.4511  \n23) −e6 − 9 p + 5 = −48.4 24) −10e2 − 2b − 6 = −66  \n0.2247 0.1041  \n25) 6e−4k − 10 − 4 = 63 26) 6e5x − 6 − 4 = 50  \n−3.1032 1.6394  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaikvwbUk4kDGx","https://ap.wps.com/l/cbCaikvwbUk4kDGx","pdf",32749,"English","# Solve Each Equation","[{\"question\":\"What instruction does the worksheet give for solving the equations?\",\"answer\":\"Solve each exponential equation and round answers to the nearest ten-thousandth.\"},{\"question\":\"How many problems are included on the worksheet?\",\"answer\":\"The worksheet contains 26 equations to solve.\"},{\"question\":\"What kinds of variables and exponential forms appear in the problems?\",\"answer\":\"The equations use variables such as b, r, n, v, x, a, m, and k, including expressions with powers of e and mixed positive/negative exponential terms.\"}]","Solving Exponential Equations with Logarithms - Worksheet | PDF",1791426144]