Question

(sqrt of 2)^(x+4)=4^x

How do I get the bases to be the same?

Answer 1

4=(sqrt(2))^4

Answer 2

(sqrt(2))^(x+4)=(sqrt(2))^(4x)

Answer 3

so x+4=4x

Answer 4

I don't understand what you did there.

Answer 5

since the bases are the same, the exponents have to be the same

Answer 6

Oh, you just simplified the 4 into sqrt of 2^4 before including the exponents?

Answer 7

yes becauce sqrt(2)*sqrt(2)*sqrt(2)*sqrt(2)=4

Answer 8

so both sides would have the same base

Answer 9

Okay great, that I understand :D I can do the rest, thank you very much :D

Answer 10

you're welcome

Answer 11

so x=4/3 then?

Answer 12

Yes, that is right :D

Answer 13

correct!