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

Answer:

A

Step-by-step 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