{"id":2258,"date":"2024-07-16T00:08:34","date_gmt":"2024-07-16T00:08:34","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/?post_type=chapter&#038;p=2258"},"modified":"2025-08-15T15:18:28","modified_gmt":"2025-08-15T15:18:28","slug":"exponential-and-logarithmic-equations-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/exponential-and-logarithmic-equations-apply-it-1\/","title":{"raw":"Exponential and Logarithmic Equations: Apply It 1","rendered":"Exponential and Logarithmic Equations: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\" aria-label=\"Learning Goals\">\r\n<ul>\r\n \t<li>Solve exponential equations by changing them to have the same base or by using logarithms<\/li>\r\n \t<li>Use the definition of logarithms and their special one-to-one property to solve equations with logarithms<\/li>\r\n<\/ul>\r\n<\/section>\r\n<p class=\"whitespace-pre-wrap break-words\">As a wildlife conservation researcher, you're studying the growth of two different endangered butterfly populations in controlled environments before releasing them into protected habitats.<\/p>\r\n\r\n\r\n[caption id=\"attachment_7136\" align=\"aligncenter\" width=\"286\"]<img class=\"wp-image-7136\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-214x300.jpg\" alt=\"\" width=\"286\" height=\"400\" \/> Butterfly resting on a flower; Photo by Cindy Gustafson on Pexels[\/caption]\r\n<p class=\"whitespace-pre-wrap break-words\">Your team has been tracking their population growth using different mathematical models, and you need to analyze the data to make informed decisions about their release.<\/p>\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31656[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31657[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31658[\/ohm2_question]<\/section><section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]31659[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\" aria-label=\"Learning Goals\">\n<ul>\n<li>Solve exponential equations by changing them to have the same base or by using logarithms<\/li>\n<li>Use the definition of logarithms and their special one-to-one property to solve equations with logarithms<\/li>\n<\/ul>\n<\/section>\n<p class=\"whitespace-pre-wrap break-words\">As a wildlife conservation researcher, you&#8217;re studying the growth of two different endangered butterfly populations in controlled environments before releasing them into protected habitats.<\/p>\n<figure id=\"attachment_7136\" aria-describedby=\"caption-attachment-7136\" style=\"width: 286px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-7136\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-214x300.jpg\" alt=\"\" width=\"286\" height=\"400\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-214x300.jpg 214w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-732x1024.jpg 732w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-768x1075.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-1097x1536.jpg 1097w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-1463x2048.jpg 1463w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-65x91.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-225x315.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-350x490.jpg 350w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/07\/08163546\/pexels-cindyg-675313-scaled.jpg 1829w\" sizes=\"(max-width: 286px) 100vw, 286px\" \/><figcaption id=\"caption-attachment-7136\" class=\"wp-caption-text\">Butterfly resting on a flower; Photo by Cindy Gustafson on Pexels<\/figcaption><\/figure>\n<p class=\"whitespace-pre-wrap break-words\">Your team has been tracking their population growth using different mathematical models, and you need to analyze the data to make informed decisions about their release.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31656\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31656&theme=lumen&iframe_resize_id=ohm31656&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31657\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31657&theme=lumen&iframe_resize_id=ohm31657&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31658\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31658&theme=lumen&iframe_resize_id=ohm31658&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm31659\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=31659&theme=lumen&iframe_resize_id=ohm31659&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":12,"menu_order":15,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":280,"module-header":"apply_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2258"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/users\/12"}],"version-history":[{"count":12,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2258\/revisions"}],"predecessor-version":[{"id":7833,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2258\/revisions\/7833"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/parts\/280"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/2258\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/media?parent=2258"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=2258"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/contributor?post=2258"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/license?post=2258"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}