# Solve the log function using graphing calculator

• Oct 9th 2012, 05:04 PM
chopper07
Solve the log function using graphing calculator
123x-1= 5982x-3

I need to simplify the equation first and then plug it into a calculator to solve for x. The problem is, I don't know how to simplify this type of equation with two exponents..help (Headbang)
• Oct 9th 2012, 05:07 PM
chopper07
Re: Solve the log function using graphing calculator
Oh, and how do I put in the numbers on a graphing calc if I want to find for example 3log2 ?
• Oct 9th 2012, 05:22 PM
skeeter
Re: Solve the log function using graphing calculator
\$\displaystyle \log(12^{3x-1}) = \log(598^{2x-3})\$

\$\displaystyle (3x-1)\log{12} = (2x-3)\log{598}\$

now graph ...

\$\displaystyle y = (3x-1)\log{12} - (2x-3)\log{598}\$

... and look for the zero.
• Oct 9th 2012, 05:28 PM
chopper07
Re: Solve the log function using graphing calculator
But the equation y=(3x-1)log12-(2x-3)log598 is not simplified ! It has to be simplified until it is in terms of x. how do i do that?
• Oct 9th 2012, 05:38 PM
skeeter
Re: Solve the log function using graphing calculator
the equation is in terms of x ... do you mean solve for x ?
• Oct 9th 2012, 05:51 PM
chopper07
Re: Solve the log function using graphing calculator
yes, that's what i mean. I mean I have to make the simplified equation look like x=something so that I can easily put it into the calculator. in our class we were told not to graph them on the graphing calc
• Oct 9th 2012, 05:52 PM
chopper07
Re: Solve the log function using graphing calculator
I'm not sure, but I think your equation was in terms of y instead.
• Oct 10th 2012, 03:08 AM
skeeter
Re: Solve the log function using graphing calculator
\$\displaystyle (3x-1)\log{12} = (2x-3)\log{598}\$

this is a linear equation ... you try solving for x. remember that \$\displaystyle \log{12}\$ and \$\displaystyle \log{598}\$ are just constants.