Question

Solve 8^(x - 2) = 3

A) x ? 2.52
B) x ? 0.26
C) x ? 2.74
D) x ? 0.40

Answer 1

take the natural log of both sides and isolate x

Answer 2

1. Solve 8^(x-2) = 3.
Take the logarithm of each side:
log[8^(x-2)] = log[3].
Use the properties of logarithms to rewrite this as
(x-2)log[8] = log[3].
Divide both sides by log[8], giving
x - 2 = log[3]/log[8].
Add 2 to both sides, giving
x = log[3]/log[8] + 2, which is approximately 2.52 (choice a).

Answer 3

Hope that sums it up