Question

2.What is the solution of the solution of the equation 5^3x=15? Round to the nearest ten thousandth.

Answer 1

Hmm
remember
$a^c=b$ can translate to $log_a(b)=c$
so

$5^{3x}=15$ can translate to $log_5(15)=3x$
divide both sides by 3
$(1/3)log_5(15)=x$
$log_5(15^{1/3})=x$
use calculator, if you can't use change of base formula to do it
$log_a(b)= \frac{log_c(b)}{log_c(a)}$ so
$log_5(10^{1/3})= \frac{log_{10}(15^{1/3})}{log_{10}(5)}=x$
evaluate using base 10 on your calculator
0.560869=x