Question

Solve 8^x – 2 = 3

Answer 1

add 2 to both sides

Answer 2

8^x – 2 = 3
+2
8^x = 5
ln both sides
ln 8^x = ln 5
Log properties, take the x outside
x ln 8 = ln 5
Divide by ln 8
x = ln 5/ln 8
x approx = 0.773976032

Answer 3

really? cuz the choices are: x ≈ 2.74
x ≈ 0.26
x ≈ 2.52
x ≈ 0.40

Answer 4

8 to the 0.773976032 = 5
5 - 2 = 3

Answer 5

If the problem is instead 8^(x - 2) = 3, then it's the same process...

8^(x - 2) = 3
ln both sides and take the exponent out
(x - 2) ln 8 = ln 3
Divide by ln 8
(x - 2) = ln 3/ln 8
Eval and add 2
x approx = 0.528320834 + 2 = 2.528320834

Next time write your problems unambiguously, please.

Answer 6

thank you for your help. i'm sorry i wrote the question incorrectly :)