Question

Solve 8^(x+2)=5 by taking logs of both sides. Please write a step by step guide.

Answer 1

Answer: x=−1.226024

Step-by-step explanation: Let's solve your equation step-by-step.

8x+2=5

Solve Exponent.

8x+2=5

log(8x+2)=log(5)(Take log of both sides)

(x+2)*(log(8))=log(5)

x+2=

log(5)

log(8)

x+2=0.773976

x+2−2=0.773976−2(Subtract 2 from both sides)

x=−1.226024