SOLUTION: Use the change base formula to solve the equation. 3^x = 27.3

Algebra ->  Functions -> SOLUTION: Use the change base formula to solve the equation. 3^x = 27.3      Log On


   

Question 307036: Use the change base formula to solve the equation.
3^x = 27.3
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
3%5Ex+=+27.3
log%283%2C3%5Ex%29+=+log%283%2C27.3%29
x+=+log%283%2C27.3%29
Applying the "change of base":
x+=+log%2827.3%29%2Flog%283%29
x+=+3.01+