What does this log notation mean? Can someone please explain what 2^logx means? Is it the same as saying logx^2 or is it something completely different? Here is an image of it as an example: 2^logx

Megan Herman

Megan Herman

Answered question

2022-09-24

What does this log notation mean?
Can someone please explain what 2 log x means? Is it the same as saying log x 2 or is it something completely different?

Answer & Explanation

Firetto8w

Firetto8w

Beginner2022-09-25Added 8 answers

If log 2 x y 3 = 0, then x y 3 = 1 x y = 3
Now, log 4 y = log 2 y log 2 4 = 1 2 log 2 y
Then log 2 x + 2 log 4 y = log 2 x + log 2 y = log 2 x y
Thus, log 2 x + 2 log 4 y = 2 log 2 x y = 2 x y = 2 2 = 4
Now we have, x y = 4 and x y = 3, and x = 4 , y = 1 is an obvious solution.
Therefore, x + y = 5
Note: To solve it in a more general manner-
x y = 3 y = x 3 x ( x 3 ) = 4 x 2 3 x 4 = 0 ( x 4 ) ( x + 1 ) = 0 x = 4 , 1
We reject x = 1 as log ( 1 ) is not a real number.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?