Question

find y in terms of x when log2y=2+log2x

Answer 1

do you know how to change log_2 y = 2 + log_2 x into exponential form?

Answer 2

need to find y in terms of x when log2y=2+log2x

Answer 3

did you ask me a question?
It's my first time here, so I'm not familiar with right steps to follow

Answer 4

do you know how to change log_2 y = 2 + log_2 x into exponential form?

Answer 5

i'm asking if you know how to start

Answer 6

..how to start solving the problem

Answer 7

wouldn't yo uconvert this to exponential form, so y=2^(2+log2x)?

Answer 8

right

Answer 9

now.. are you familiar with this concept: \[\huge a^b \times a^c = a^{b+ c}\]

Answer 10

yes

Answer 11

good. so can you apply that in 2^(2+ log_2 x)

Answer 12

could you convert the log_2 x into exponential form also?

Answer 13

tell me what you got for 2^(2+log_2 x) first

Answer 14

i'm not entirely sure on that one

Answer 15

use the property

a^(b+c) = a^b * a^c

Answer 16

okay well than it should be (2^2)*(2^log_2 x)

Answer 17

right

Answer 18

now here comes another property \[\huge a^{\log_a b} = b\]
do you understand what that means?

Answer 19

yes - does that mean that the answer to this question would be 4x?

Answer 20

right. but the complete answer is y = 4x

Answer 21

because you want the expression in terms of y

Answer 22

alright, that makes sense - thanks a lot for the help!

Answer 23

Is this site always free or do I have to sign up for a fee if I need more help?

Answer 24

no. it's very free