SOLUTION: Please help me solve this problem: {{{ 8^(x+4)= 16^(3x) }}} I've tried setting the bases equal to each other, but the answer I get doesn't match any of the answers provided.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me solve this problem: {{{ 8^(x+4)= 16^(3x) }}} I've tried setting the bases equal to each other, but the answer I get doesn't match any of the answers provided.       Log On


   

Question 449616: Please help me solve this problem: +8%5E%28x%2B4%29=+16%5E%283x%29+
I've tried setting the bases equal to each other, but the answer I get doesn't match any of the answers provided.
Please help?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
8^(x+4)= 16^(3x)
log[8](16)=4/3 the key ingredient.
x+4=4/3 * 3x
x+4=4x
3x=4
x=4/3
.
Ed