Question

Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator.
please help me fill in the blanks. any help would be appreciated.

Answer 1

Answer:

$3+2(log_{2}(x+1) )$

Step-by-step explanation:

First simplify the quadratic present$8(x^{2}+2x+1)=8(x+1)^{2}$

$log_{2}8+log_{2}(x+1)^{2}$

⇒$3+2(log_{2}(x+1) )$