Solve to the nearest thousandth.

Question

5^1+x = 2^1-x

Answer 1

(1+x)*Log5 = (1-x)*Log2.
Divide both sides by Log5:
1+x = (1-x) * 0.431.
1+x = 0.431-0.431x.
1.431x = -0.569.
X = -0.398.