Find x using logharitms. 4^(2x-1)-11=0

The first step is to shift 11 to the right
side.

4^(2x-1) = 11

Now, to
find out x, we'll take log on both sides:

log 4^(2x-1) =
log 11

We'll use the power rule of
logarithms:

(2x - 1)*log 4 = log
11

We'll divide by log 4 both sides of the
equation:

(2x - 1) = log 11 / log
4

We'll add 1  both sides:

2x
= (log 11 / log 4) + 1

We'l divide by
2:

x = [(log 11 / log 4) +
1]/2

The solution of the equation is: x =
[(log 11 / log 4) + 1]/2.