Question

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

Answer 1

So D x= 5 is the right answer

Answer 2

Answer:

The correct option is D.

Step-by-step 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.