Question

Logy
Solve 4^x+2 = 12 for x using the change of base formula log, y = 10
log b

Answer 1

x ≈ -0.208

Explanation:

4^(x + 2) = 12

log₄ 4^(x + 2) = log₄ 12

x + 2 = log₄ 12

x + 2 = (log 12) / (log 4)

x = -2 + (log 12) / (log 4)

x ≈ -0.208