SOLUTION: Solve using logs. 5^2x = 11 Please show each step! Thank you! :)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve using logs. 5^2x = 11 Please show each step! Thank you! :)      Log On


   

Question 690607: Solve using logs.
5^2x = 11
Please show each step! Thank you! :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using logs.
5^2x = 11
log%285%5E%282x%29%29 = log%2811%29
the log equiv of exponents
2x%2Alog%285%29 = log%2811%29\
divide both sides by log(5)
2x = log%2811%29%2Flog%285%29
using your calc
2x = 1.489896
x = 1.489896%2F2
x ~ .745
:
;
You can check this on your calc: enter 5^(2*.745), results: 11.00