## anonymous 5 years ago 16^(3X)=8^(X+1)

1. anonymous

Take the natural log of both sides. Then,$\ln(16^{3x})=\ln(8^{x+1})$So that$3x{\ln(16)}=(x+1)\ln{(8)}$But 16=2^4 and 8=2^3,so$3.4\ln(2)x=3\ln(2)x+3\ln(2)$Collecting like-terms leads to$9\ln(2)x=3\ln(2) \rightarrow x=\frac{3\ln(2)}{9\ln(2)}=\frac{1}{3}$

2. anonymous

Note, you could take any log you like - it won't matter in the end. I just chose 'ln' since people feel more comfortable with it.

3. anonymous

K THANKS

4. nickiminaj

ms lady thx 4 ur help its getting late goodnight

5. anonymous

BYE

6. nickiminaj

goodnight thx 4 ur help