Question

What is the solution of log4(2x-6)=2

Answer 1

Answer: $x=11$

Step-by-step explanation:

Remembert that, by definition:

$log_b(x)=y$ → $b^y=x$

Then, you can rewrite $log_4(2x-6)=2$ in exponential form:

$4^2=2x-6$

Now you can solve for the variable "x":

Add 6 to both sides of the equation:

$4^2+6=2x-6+6$

$22=2x$

And finally you must divide both sides of the equation by 2, then:

$\frac{22}{2}=\frac{2x}{2}\\\\x=11$