Math Help - Logarithm Question

1. Logarithm Question

Hi,

I have a question regarding logarithms. The question that I have is this:

I need to combine the bases of two different logs: LogaX=C and LogbX=C so how do I turn that into LogabX?

2. Hi,

Originally Posted by SolidSnakeXC
Hi,

I have a question regarding logarithms. The question that I have is this:

I need to combine the bases of two different logs: LogaX=C and LogbX=C so how do I turn that into LogabX?

Here is how I do :

the general formula states :

$\log_a X=\frac{\ln X}{\ln a}$

where $\ln$ is the neperian logarithm ( $\ln=\log_e$)

$\log_b X=\frac{\ln X}{\ln b}$

$\ln_{ab} X=\frac{\ln X}{\ln ab}=\frac{\ln X}{\ln a+\ln b}$

Try to find what you want by taking the inverse

3. Thank you!