Question

Solve for x

Answer 1

\[\huge (5)(8)^{(x+2)} = 5^{7x}\]

Answer 2

\[5 \dot\ 8^{x+2} = 5^{7x}
\\ 5 \dot\ 8^x 8^2 = \left(5{^7}\right)^x
\\5 \dot\ 8^2 = \frac{\left(5{^7}\right)^x}{8^x}
\\5 \dot\ 64 = \left(\frac{5^7}{8}\right)^x
\\320 = \left(\frac{5^7}{8}\right)^x
\]

Take logs of both sides and finish simplifying