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by **JiaGengMaths** on Thu Apr 19, 2012 8:28 am

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.

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by **maggiemagnet** on Fri Apr 20, 2012 1:14 pm

JiaGengMaths wrote: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!
:clap:

by **JiaGengMaths** on Sat Apr 21, 2012 7:00 am

yes
ty

by **nona.m.nona** on Sat Apr 21, 2012 1:25 pm

$\mbox{Simplify }\, \frac{\log_5(4)\, \log_2(10)}{\log_{25}\left(\sqrt{10}\right)}$

I would suggest applying the formula for changing the base of a logarithmic expression, and then cancelling, etc.

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