SOLUTION: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5)=54. thanks
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-> SOLUTION: Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5)=54. thanks
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Algebra: Exponent and logarithm as functions of power
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Question 42257
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Use log(5) 2≈0.4307 and log(5) 3≈0.6826 to approximate the value of log(5)=54.
thanks
Answer by
fractalier(2101)
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Since 54 = 2 * 3^3, we have
log(5) 54 = log(5) 2 + 3*log(5) 3
log(5) 54 = .4307 + 3*.6826
log(5) 54 = 2.4705
