SOLUTION: How do you solve for X in this equation?: {{{ 2ln4x=15 }}}

Question 381355: How do you solve for X in this equation?:
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
2ln(4x)=15
With a variable in the argument of a logarithm, you usually start by transforming the equation into one of the following forms:
log(expression) = other-expression
or
log(expression) = log(other-expression)

All we have to do to your equation to reach the first form is to divide by 2:

With the first form, the next step is to rewrite the equation in exponential form. In general is equivalent to . Using this on your equation we get:
(Since e is the base of ln.)
And last of all, we multiply by 1/4. (Dividing by 4 works, too.)

This is an exact expression for the solution to your equation.
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