Question

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3

Answer 1

It's B on Edg

Explanation:

I just took the test

Answer 2

x = 1

Explanation:

We have to solve the given logarithmic equation of variable x.

The equation is
`3\log _(2) (2x) = 3`

⇒
`\log_(2) (2x)^(3) = 3`

{Since, we know the logarithmic property,
`a \log b = \log b^(a)`}

⇒
`\log_(2) (2x)^(3) = 3\log_(2)2 = \log_(2) 2^(3)`

{Since we know that
`\log_(a) a = 1`}

Now cancelling log from both sides we get,

`(2x)^(3) = 2^(3)`

⇒
`x^(3) = 1`

⇒ x = 1 (Answer)