santaclaus wrote:so, ab^{x}=c
do I just say that a * x log b=c and solve for x?
Just as you cannot take the square root of only one factor of one term in an equation, while leaving the others unaffected; just as you cannot divide only one term in an equation, while leaving the others unaffected; just as you cannot square only one portion of an expression in an equation, while leaving the rest unaffected; just as you've always had to do the same thing
to both sides of a given equation, so also you must "log" both sides of an exponential equation.
To learn the basics of solving exponential equations, please study
this lesson.
Thank you!