Question

Solve logx − 1 16 = 4.
a) x = 2
b)x = 3
c)x = 4
d)x = 5

Answer 1

Answer:3

Step-by-step explanation:test

Answer 2

3

The Problem:

`\log_(x-1)(16)=4`.

Explanation:

Based on your choices I think you mean:

`\log_(x-1)(16)=4`.

The equivalent exponential form is:

`(x-1)^4=16`

Take the fourth of both sides:

`(x-1)=\pm 16^(1)/(4)`

( There is two answer because it was even powered.)

Simplify:

`x-1=\pm 2`

Add 1 on both sides.

`x=1+2=3 \text{ or } x=1-2=-1`

Since the base of logarithm can only be postive not including 1, then the answer is just x=3. As x=-1 gives the base as x-1=-1-1=-2.