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What is the solution to the equation below? Round your answer to two decimal places. 5^x = 9.2

User Sasklacz
by
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1 Answer

5 votes

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.

User Ahalls
by
8.9k points

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