Question

2*2^2x=4^x+64

Answer 1

is it
\(\large 2\times 2^{2x}=4^x+64\)

if yes, then note that 2^2 =4
so, 2^2x =4^x
so, can you isolate 4^x from that equation?

Answer 2

Yes that's the correct equation. I am trying to solve using like bases. I know the answer is 3. I just can't get past 2*2^2x=2^2x+2^6

Answer 3

ok, so to simplify things lets take 4^x = a
you got how 2^2x = 4^x ??
so, we have 2a =a+64
can you find 'a' from here ? or 4^x

Answer 4

But doesn't that make the answer 64?

Answer 5

a= 64
so, 4^x = 64
can you now express 64 as a power of 4 ?

Answer 6

\(\large 64=4^{??} \\ \large 4^x = 4^{??} \\ x= ??\)

Answer 7

Okay I got it now thank you so much

Answer 8

welcome ^_^
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