Question

What is the solution to the equation 7^3x ≈ 9 ?

Answer 1

$7^{3x}\approx9\\\\\log_77^{3x}\approx\log_79\\\\3x\approx\log_79\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x\approx\dfrac{\log_79}{3}=\frac{1}{3}\log_79=\log_79^\frac{1}{3}=\log_7\sqrt[3]9}$