SOLUTION: What is the solution to this problem? 5^(x-1) = 3x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: What is the solution to this problem? 5^(x-1) = 3x      Log On


   



Question 1135342: What is the solution to this problem?
5^(x-1) = 3x

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


With the variable in two terms in the equation, as an exponent in one of them, the equation can't be solved algebraically. Numerical methods, such as those used by good graphing calculators, need to be used.

Graph the expressions on the two sides of the equation on a graphing calculator and find their points of intersection (there are two).

graph%28400%2C400%2C-1%2C5%2C-1%2C10%2C5%5E%28x-1%29%2C3x%29