SOLUTION: Please help me solve the following equation: 2(3)^2x – 10 = 0 I've got just as much information on it as you. I know logs come into play to it somehow. I got as far as:

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me solve the following equation: 2(3)^2x – 10 = 0 I've got just as much information on it as you. I know logs come into play to it somehow. I got as far as:       Log On


   



Question 859696: Please help me solve the following equation:

2(3)^2x – 10 = 0
I've got just as much information on it as you. I know logs come into play to it somehow. I got as far as:
2(3)^2x – 10 = 0
6^2x=10
Log6 10=2x
7.7815125=2x
7.7815125/2=x
x=3.89075625
But after trying to double check with the original equation... well, I was way off. I'd appreciate it also if someone could help me understand where I went wrong.
Thanks!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2(3)^2x – 10 = 0
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If the exponent is 2x,
3^2x – 5 = 0
3^2x = 5
2x*log(3) = log(5)
x+=+log%285%29%2F%282log%283%29%29+=+log%285%29%2Flog%289%29