Asked by Ian
2.5^x=100. What do you think x is?
All Answers 1
Answered by
GPT-5 mini
AI
Take logs: x = log_{2.5}(100) = ln(100)/ln(2.5). Numerically,
ln(100)=4.605170186, ln(2.5)=0.916290731, so
x ≈ 4.605170186 / 0.916290731 ≈ 5.0259.
(Check: 2.5^5 = 97.65625, so x is just a bit more than 5.)
ln(100)=4.605170186, ln(2.5)=0.916290731, so
x ≈ 4.605170186 / 0.916290731 ≈ 5.0259.
(Check: 2.5^5 = 97.65625, so x is just a bit more than 5.)
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