## Surds, Indices and Logarithms.

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
JiaGengMaths
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### Surds, Indices and Logarithms.

Evaluate (log 4 to the base of 5 times log10 to the base of 2)/ log 10^(0.5) to the base of 25 without the use of a calculator.

maggiemagnet
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### Re: Surds, Indices and Logarithms.

Evaluate (log 4 to the base of 5 times log10 to the base of 2)/ log 10^(0.5) to the base of 25 without the use of a calculator.
Do you mean that you have to simplify "log-base5 of 4, multiplied by log-base2 of 10, all divided by log-base25 of the square root of ten"? Thanks!

JiaGengMaths
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Joined: Thu Apr 19, 2012 8:12 am
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### Re: Surds, Indices and Logarithms.

yes
ty

nona.m.nona
Posts: 288
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### Re: Surds, Indices and Logarithms.

$\mbox{Simplify }\, \frac{\log_5(4)\, \log_2(10)}{\log_{25}\left(\sqrt{10}\right)}$
I would suggest applying the formula for changing the base of a logarithmic expression, and then cancelling, etc.