Asked by cool
(ln(100))/ln(10) =
I know the answer is 2 so can you explain why. Thank you :)
I know the answer is 2 so can you explain why. Thank you :)
Answers
Answered by
Scott
100 = 10^2
10 = 10^1
logarithms are exponents -- powers of some base
regardless of the base, the logarithm of 100 will always be twice the logarithm of 10
10 = 10^1
logarithms are exponents -- powers of some base
regardless of the base, the logarithm of 100 will always be twice the logarithm of 10
Answered by
Reiny
ln(100)
= ln(10^2)
= 2ln10
so ln100/ln10
= 2ln10/ln10
= 2
= ln(10^2)
= 2ln10
so ln100/ln10
= 2ln10/ln10
= 2
Answered by
Steve
also, this is just the change of base formula, so
ln(100)/ln(10) = log<sub><sub>10</sub></sub>100 = 2
ln(100)/ln(10) = log<sub><sub>10</sub></sub>100 = 2
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