Answer:
x = 1.38
Explanation:
Step 1: Take the log of both sides:
log(5^x) = log(9.2)
Step 2: Apply the power rule of logs to bring x down as a coefficient:
x * log(5) = log(9.2)
Step 3: Divide both sides by log(5) to solve for x. Then, round the answer to two decimal places (i.e., the nearest hundredth):
(x * log(5) = log(9.2)) / log(5)
x = log(9.2) / log(5)
x = 1.378868652
x = 1.38
Therefore, x is approximately 1.38.