Question

solve 2^(x+3) =4^x?

Answer 1

hint:
4^x = 2^(2x)

Answer 2

I think you should Distribute the first equation but from there I cant help anymore :)

Answer 3

\[2^{(x+3)} =4^x \rightarrow 2^{(x+3)} =2^{2x} \]

Answer 4

is the answer x=3?

Answer 5

yes

Answer 6

yes .. you can show your solution here

Answer 7

Now since bases on both sides are same, therefore we can equate the powers on both sides
so
\[(x+3) =2x \rightarrow 3 = 2x-x \rightarrow x=3\]

Answer 8

yes! thank you all :)