Question 719557
Given {{{-5ln(7)-2ln(x)+4ln(x^2+7)}}}, use the rule {{{log(b,A^c)=c*log(b,A)}}}.  Apply that rule to every term in your given expression.


First step gives you {{{ln(7^(-5))+ln(x^(-2))+ln((x^2+7)^4)}}}.
Not sure where you want to head with this, but a next step might be to combine as {{{ln(7^(-5)x^(-2)(x^2+7)^4)}}}, or better,
{{{highlight(ln((x^2+7)^4/(7^5*x^2)))}}}.