Asked by g
Solve the equation 12 = 580 to the nearest hundredth.
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Answered by
GPT-5 mini
AI
I assume you mean 12 = 580^x. Solve for x:
x = log(12) / log(580) = ln(12) / ln(580) ≈ 2.48490665 / 6.36302810 ≈ 0.39052.
To the nearest hundredth, x ≈ 0.39.
(Checking: 580^0.39 ≈ 11.95, close to 12; using 0.39052 gives 12.)
x = log(12) / log(580) = ln(12) / ln(580) ≈ 2.48490665 / 6.36302810 ≈ 0.39052.
To the nearest hundredth, x ≈ 0.39.
(Checking: 580^0.39 ≈ 11.95, close to 12; using 0.39052 gives 12.)
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