SOLUTION: How do I solve for X 5^2x+7=9

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I solve for X 5^2x+7=9      Log On


   



Question 845794: How do I solve for X
5^2x+7=9

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the equation is 5%5E%282x%2B7%29=9, then...

5%5E%282x%2B7%29=9

2x%2B7=log%285%2C%289%29%29

2x=log%285%2C%289%29%29-7

x=%28log%285%2C%289%29%29-7%29%2F2


=========================================================================

OR...If the equation is 5%5E%282x%29%2B7=9, then...

5%5E%282x%29%2B7=9

5%5E%282x%29=9-7

5%5E%282x%29=2

2x=log%285%2C%282%29%29

2x=log%285%2C%282%29%29

x=%28log%285%2C%282%29%29%29%2F2