Question

Find the solution to the equation 64^(2 - x) = 4^4x. Using complete sentences, explain the procedure used to solve this equation

Answer 1

Simplify

Answer 2

im sorry I forgot to add a couple things in my equiation 64^(2 - x) = 4^4x

Answer 3

:O

Answer 4

\(64=4^3\) and so \(64^{2-x}=(4^3)^{2-x}=4^{6-3x}\)

Answer 5

now your equation is
\[4^{6-3x}=4^{4x}\] making \(6-3x=4x\) solve for \(x\)

Answer 6

@satellite73 so I would end up with 7x=6 then x=6/7?

Answer 7

yes

Answer 8

so if that is my answer how would I put that into a sentence? by the way thank you for your help! I appreciate it very much @satellite73