Question

Express each expression as a single logarithm.​

Answer 1

1. 6

2. 23

Explanation:

1.

logx+1 ( x^2 + 2x + 1)^3

= 3logx+1 ( x^2 + 2x + 1)

= 3 logx+1 (x + 1)^2

= 6 logx+1 (x + 1) Now the logx+1 x+1 = 1 so

The answer is 6.

2.

log11 11^23

= 23 log11 11

As in question 1 log11 11 = 1

So the answer is 23.