Question

Solve for x: 8^{2x+3} = 32^{x+2}

Answer 1

use natural logs. drop the power and solve like a normal equation

Answer 2

\(\bf 8^{2x+3} = 32^{x+2}\qquad \qquad {\color{blue}{ 8\implies 2^3\qquad 32\implies 2^5}}\qquad thus
\\ \quad \\
8^{2x+3} = 32^{x+2}\implies ({\color{blue}{ 2^3}})^{2x+3}=({\color{blue}{ 2^5}})^{x+2}\)

what do you think?

Answer 3

there you go!

Answer 4

Thanks drag0night

Answer 5

No problem!