New to Logarithms

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• Nov 18th 2012, 06:04 PM
JDRhoads
New to Logarithms
Hey,

I am pretty new to Logarithms and my class just got into the topic. I just converted y = log(base 4)X into "x = 4^y" to get the exponential equation.

However when the problem starts to get more complicated I don't know how to convert.

Right now I am trying to figure out how to convert "y = log(base 3)(x-2)"

Any help would be appreciated! Thanks!
• Nov 18th 2012, 06:13 PM
skeeter
Re: New to Logarithms
Quote:

Originally Posted by JDRhoads
Hey,

I am pretty new to Logarithms and my class just got into the topic. I just converted y = log(base 4)X into "x = 4^y" to get the exponential equation.

However when the problem starts to get more complicated I don't know how to convert.

Right now I am trying to figure out how to convert "y = log(base 3)(x-2)"

Any help would be appreciated! Thanks!

$a = \log_b{c} \implies b^a = c$

so ...

$y = \log_3(x-2) \implies 3^y = x-2$
• Nov 18th 2012, 06:44 PM
JDRhoads
Re: New to Logarithms
Thanks!! How would I then type that out with bases? I don't know how to do that. And I have been trying to plug it into a graphing calculator to check but have problems there as well. Thanks!
• Nov 18th 2012, 07:13 PM
Prove It
Re: New to Logarithms
You won't be able to input bases other than 10 or e into your graphics calculator. If you have any other base you will need to change the base to 10 or e.
• Nov 19th 2012, 06:07 AM
skeeter
Re: New to Logarithms
Quote:

Originally Posted by JDRhoads
Thanks!! How would I then type that out with bases? I don't know how to do that. And I have been trying to plug it into a graphing calculator to check but have problems there as well. Thanks!

if you have a TI-84 with the latest operating system installed, then you can calculate logs of any base. In any case, here is a link to calculating logs ...

Logarithms Using the Graphing Calculator