SOLUTION: I have been struggling on this problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Using Laws of Exponents solve for n.

Question 163874This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling on this problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Using Laws of Exponents
solve for n.
4^n+3*16^n=8^3n This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume the problems is:
:
=
:
note all these values are powers of 2, 4=2^2; 16 = 2^4; 8 = 2^3
so we can write this equation:
=
which is:
=
Which is:
=
=
Therefore we can say
6n + 6 = 9n
6 = 9n - 6n
6 = 3n
n =
n = 2
;
;
Substitute for n in the original equation and enter in a good calc to prove it

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