Question 199944
{{{4^(5x+2) = 70}}}
use logs
{{{log(4^(5x+2)) = log(70)}}}
the log equiv of exponents
{{{(5x+2)*log(4) = log(70)}}}
:
.602(5x+2) = 1.845
:
5x + 2 = {{{1.845/.602}}}
5x + 2 = 3.0646
:
5x = 3.0646 - 2
:
5x = 1.0646
x = {{{1.0646/5}}}
x = .213
:
;
Check solution with a calc: enter 4^(5(.213)+2) = 70.0