Mathematics, 02.02.2020 23:45 nuncasemeoovideo999
Solve the logarithmic equation. be sure to reject any value that is not in the domain of the original logarithmic expressions. give the exact answer. ln (x - 6) + ln (x + 1) = ln (x - 15)
Answers: 1
![\bf \textit{logarithm of factors}\\\\ log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\ -------------------------------\\\\ ln(x-6)+ln(x+10)=ln(x-15) \\\\\\ ln[(x-6)(x+10)]=ln(x-15)\implies (x-6)(x+10)=x-15 \\\\\\ x^2-5x-6=x-15\implies x^2-6x+9=0 \\\\\\ (x-3)^2=0\implies \boxed{x=3}](/tpl/images/0494/3722/d2bd4.png)
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Solve the logarithmic equation. be sure to reject any value that is not in the domain of the origina...
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