solve 2^(x − 1) = 11 for x using the change of base formula log base b of y equals log y over log b.
a) −0.711
b) 1.289
c) 2.459
d) 4.459

Solved given expression for x using the change of base formula log base b of y equals log y over log b is 4.459

Option D

Step-by-step explanation:

Given Expression:

To solve this, first convert the exponential form into log form

If   then

So, when comparing the given expression with above,  a = 2, x = x – 1 and b = 11 .

            become

Now, apply change of base formula to remove base 3

Hence,

Substitute in above expression, we get

           x – 1 = 3.459

          x = 3.459 + 1 = 4.459

only 10/60 isn't equivalent

hope this : )