Posted by Meghan on .
Solve the exponential equation.
4^2x – 2 = 26
I know I use the one to one property to equate. But I am confused. Thanks!

Algebra 
Reiny,
do you mean
4^(2x)  2 = 26 or
4^(2x2) = 26 or
(4^2)x  2 = 26
The way you typed it, it would be the last one, but I am sure that is not what you meant. 
Algebra 
Meghan,
4^(2x2)=26

Algebra 
Reiny,
then take log of both sides
log [4^(2x2) }= log 26
(2x2)log4 = log 26
2x2 = log26/lo4
2x = (log26/log4 + 2)
x = (log26/log4 + 2)/2 = appr. 2.1751
check
4^(2(2.1751  2)
= 4^(4.35022  2)
= 4^2.35022
= 26
= RS