Posted by Meghan on Friday, July 29, 2011 at 6:52pm.
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, Friday, July 29, 2011 at 7:00pm
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, Friday, July 29, 2011 at 7:03pm
4^(2x2)=26

Algebra  Reiny, Friday, July 29, 2011 at 7:11pm
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
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