SOLUTION: {{{ 4 ^ (5x+2) = 70}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: {{{ 4 ^ (5x+2) = 70}}}      Log On


   

Question 199944: +4+%5E+%285x%2B2%29+=+70
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%285x%2B2%29+=+70
use logs
log%284%5E%285x%2B2%29%29+=+log%2870%29
the log equiv of exponents
%285x%2B2%29%2Alog%284%29+=+log%2870%29
:
.602(5x+2) = 1.845
:
5x + 2 = 1.845%2F.602
5x + 2 = 3.0646
:
5x = 3.0646 - 2
:
5x = 1.0646
x = 1.0646%2F5
x = .213
:
;
Check solution with a calc: enter 4^(5(.213)+2) = 70.0