Question

Simplify 2^log2(5x)

Answer 1

2^log_2(5x) = 5x

Answer 2

How did you get that?

Answer 3

a^log_a(x) = x

Answer 4

if you don't want to use that property u can also prove that
2^log_2(5x) = 5x

Answer 5

2^log_2(5x) = y
take log_2 of both sides
log2(5x) = log2(y)
5x = y

Answer 6

like that ^

Answer 7

if you need to prove it...make a note that log(x) is injective. not sure how much you need to say.

Answer 8

or raise each side to the exponent of base 2...

Answer 9

log2(5x) = log2(y)
2^log2(5x) =2^log2(y) ---> 5x=y

Answer 10

Awesome, thanks for your help!

Answer 11

np