Question

What is the solution of log2x − 6 (256) = 4?

A. x = -5

B. x = -4

C. x = 4

D. x = 5

Answer 1

so D x= 5 is the right answer

Answer 2

The correct option is D.

Explanation:

The given equation is

`log_(2x-6)(256)=4`

This equation can be written as

`(2x-6)^{log_(2x-6)(256)}=(2x-6)^4`

`256=(2x-6)^4`
`[\because a^(log_ax)=x]`

Taking 4th root both sides.

`4=(2x-6)`

`4+6=2x`

`10=2x`

`5=x`

The value of x is 5.

Therefore correct option is D.