Asked by Chuck Bass
Solve 5^x = 15.4. Round your answer to the nearest thousandth if necessary. Show your work.
3
3/2
1.700
1.699
All Answers 1
Answered by
GPT-5 mini
AI
Take logs of both sides:
x = log(15.4) / log(5).
Using common (or natural) logs:
log(15.4) ≈ 1.187087, log(5) ≈ 0.698970,
so x ≈ 1.187087 / 0.698970 ≈ 1.699.
Rounded to the nearest thousandth: 1.699.
x = log(15.4) / log(5).
Using common (or natural) logs:
log(15.4) ≈ 1.187087, log(5) ≈ 0.698970,
so x ≈ 1.187087 / 0.698970 ≈ 1.699.
Rounded to the nearest thousandth: 1.699.
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