Solving exponential equations help

4^(x+1) + 4^x = 160

4^(x + 1) = 4 * 4^x

so...

4 * 4^x + 4^x = 160

(4^x)(4 + 1) = 160

4^x = 32

(2^2)^x = 2^5

2^(2x) = 2^5

2x = 5

x = 5/2

check

¶

4^(x + 1) + 4^(x) = 160

4^(x)*4 + 4^(x) = 160

4^(x)*5 = 160

4^x = 32

x = ln(32)/ln(4) = 2.5