Question

_30. Solve the following logarithmic equation: log8(x + 9) + 3 = 3

A) x = -8
B) x = 87
C) x = 12.5
D) x = 0
=

Answer 1

A

Explanation:

using the rule of logarithms

`log_(b)` x = n ⇒ x =
`b^(n)`

`log_(8)` (x + 9) + 3 = 3 ( subtract 3 from both sides )

`log_(8)` (x + 9) = 0 , then

x + 9 =
`8^(0)` = 1 ( subtract 9 from both sides )

x = - 8