SOLUTION: 3^(2x-1)=4^(x=2)

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Question 143213: 3^(2x-1)=4^(x=2)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
:
3^(2x-1) = 4^(x+2)
:
log(3^(2x-1)) = log(4^(x+2))
:
Use the log equiv of exponents
(2x-1)*log(3) = (x+2)*log(4)
:
Find the logs of 3 and 4 and you have:
.47712(2x-1) = .60206(x+2)
:
Multiply what's inside the brackets:
.95424x - .47712 = .60206x + 1.20412
:
.95424x - .60206x = .47712 + 1.20412
:
.35218x = 1.68124
x = 1.68124%2F.35218
x = 4.7738
:
:
Check solution using a calc:
enter 3^(2(4.7738)-1) = 11974
and
enter 4^6.7738 = 11974; confirms our solution