Question

If 4^(n + 4) - 4^(n + 2) = 960, What is the value of n?

Answer 1

Wu ah ah ah DJ eh to egg

Answer 2

Answer:

Step-by-step explanation:

4^(n+4) - 4^(n+2) = 960

Taking 4^(n+2) common in LHS we get

4^(n+2) [4^2 - 1] = 960

4^(n+2) * [15] = 960

4^(n+2) =64

4^(n+2) =4^3

As bases are same we can compare the powers.

n+2=3

n=1

PROOF

4^(n+4) - 4^(n+2) = 960

4^(1+4) - 4^(1+2) = 960

4^(5) - 4^(3) = 960

1024-64=960

960=960

Hence proved.