How do you solve 2^(5x)/4^(3x)=8*16^(9x) ?
1 Answer
Apr 16, 2017
Explanation:
Given:
2^(5x)/4^(3x)=8*16^(9x)
This can be rewritten in terms of powers of
2^(5x)/((2^2)^(3x)) = 2^3*(2^4)^(9x)
Then using:
(a^b)^c = a^(bc)" " (whena > 0 )
we can rewrite this as:
2^(-x) = 2^(5x-6x) = 2^(5x)/2^(6x) = 2^3*2^(36x) = 2^(36x+3)
Note that
-x = 36x+3
Hence:
x = -3/37