Question

Solve 2^(x+2)=7^x

Answer 1

Take the natural log on both sides, we get:\[(x+2)\ln2 = xln7 \implies \frac{x+2}{x} = \frac{\ln7}{\ln2}\]Use a calculator to solve for the RHS, then solve for x.

Answer 2

I got somewhere near 1.1 as a value for x.