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^(2x-2) = 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^(2x-2)=26

- Algebra -
**Reiny**, Friday, July 29, 2011 at 7:11pm
then take log of both sides

log [4^(2x-2) }= log 26

(2x-2)log4 = log 26

2x-2 = 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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