SOLUTION: solve 5 raised to x+2=12?

Algebra ->  Equations -> SOLUTION: solve 5 raised to x+2=12?      Log On


   

Question 309748: solve 5 raised to x+2=12?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve 5 raised to x+2=12?
5%5E%28x%2B2%29+=+12+
Use logs here
log%285%5E%28x%2B2%29%29+=+log%2812%29+
log equiv of exponents
(x+2)log(5) = log(12)
x + 2 = log%2812%29%2Flog%285%29
using a calc
x + 2 = 1.544
:
x = 1.544 - 2
;
x = -.456
:
:
Check on a calc enter 5^(-.456+2) = 12.00