## Surds, Indices and Logarithms.

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.

### 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.
JiaGengMaths

Posts: 6
Joined: Thu Apr 19, 2012 8:12 am

### Re: Surds, Indices and Logarithms.

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!

maggiemagnet

Posts: 287
Joined: Mon Dec 08, 2008 12:32 am

### Re: Surds, Indices and Logarithms.

yes
ty
JiaGengMaths

Posts: 6
Joined: Thu Apr 19, 2012 8:12 am

### 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.
nona.m.nona

Posts: 250
Joined: Sun Dec 14, 2008 11:07 pm