How to find x if 11^(2x+1)=13.

The equation 11^(2x+1)=13 has to be solved for
x.

11^(2x+1)=13

Take the
logarithm of both the sides

`log(11^(2x+1))= log
13`

Use the property of logarithm `log a^b = b*log
a`

`(2x +1)*log 11 = log
13`

Isolate x to one of the
sides

`2x + 1 = (log 13)/(log
11)`

`2x = (log 13)/(log 11) -
1`

`x = ((log 13)/(log 11) -
1)/2`

The solution of the given equation is x = `((log
13)/(log 11) - 1)/2`