SOLUTION: Solve each exponential equation for x. Round your answer to 3 decimal places. a) 9 ^ (2x-5) = 1/81 I figured you have to multiply both sides by natural log. If thats corr

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve each exponential equation for x. Round your answer to 3 decimal places. a) 9 ^ (2x-5) = 1/81 I figured you have to multiply both sides by natural log. If thats corr      Log On


   



Question 384995: Solve each exponential equation for x. Round your answer to 3 decimal places.
a) 9 ^ (2x-5) = 1/81
I figured you have to multiply both sides by natural log. If thats correct, from there i have no idea what to do. Thank you.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You don't multiply by the natural log, you just take the natural log. In this case take the log base 9 to get

2x - 5 = log_9 (1/81) = -2
2x - 5 = -2
x = 3/2 = 1.5