Question

What is the solution to the equation log(4x + 4) = 2 ? show your work

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = −1/2

Decimal Form:

x = −0.5

Explanation:

Answer 2

x = 24

Explanation:

using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

note that log x represents
`log_(10)` x

given

log(4x + 4) = 2 , then

4x + 4 = 10² = 100 ( subtract 4 from both sides )

4x = 96 ( divide both sides by 4 )

x = 24