Log2(4)+log2(x+3)= log2(8)

Question

Math help

Answer 1

log_2 (4) + log_2 (x+3) = log_2 (8)

 

(1)  Since all the logarithms have the same base, use the rule for the logarithm of a product to combine the 3 terms on the left.

 

(2)  Evaluate the term on the right.

 

Steps (1) and (2) give:

 

log_2 [4 (x+3)] = 3

 

Now take 2 to the power on the left and right sides:

 

4 (x+3) = 2^3 =8

 

Solve 4(x+3) = 8

 

x = -1