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?

Thanks in advance

Printable View

- Jun 7th 2008, 10:46 AMSolidSnakeXCLogarithm 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?

Thanks in advance - Jun 7th 2008, 10:57 AMMoo
Hi,

Here is how I do :

the general formula states :

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

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

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

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

Try to find what you want by taking the inverse :) - Jun 7th 2008, 10:59 AMSolidSnakeXC
Thank you!