SOLUTION: solve 3 exponent x+3=9 exponent x for x

Question 1078842: solve 3 exponent x+3=9 exponent x for x
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
solve 3 exponent x+3=9 exponent x for x
Assume the problem is:

Raise both sides with the exponent
:
, the first exponent is
Using nat logs
,
the log equiv of exponents

ln of this fraction = 2

x + 3 = 2x
3 = 2x - x
x = 3
;
:
See if that checks out using your calc
3^(3+3) = 3^6 = 729
9^3 = 729

Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!
solve 3 exponent x+3=9 exponent x for x

Use PARENTHESES next time. If , then:

x + 3 = 2x ------ Bases are equal and so are the exponents

That's all.....nothing COMPLEX or CONFUSING!
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