Question

Solve: log8 (x - 4) = 2

Answer 1

x = 68

Step-by-step explanation:

Given equation:

`\rm log_(8)(x - 4) = 2`

To Find:

Value of x

Solution:

Rewrite the equation in exponential form which is equivalent to b^y = x.

`\implies {8}^(2) = x - 4`

Now find the value of x.

`\implies \:64 = x - 4`

Transpose 4 from RHS to LHS, make sure to change its sign from (-) to (+) .

`\implies \: 64 + 4 = x`

Overturn the equation

`\implies \: x = 68`

Thus, value of x is 68.

Answer 2

x = 68

Step-by-step explanation:

⇒ log₈(x - 4) = 2

apply log rules: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

simplify

⇒ x - 4 = 64

add 4 on both sides

⇒ x = 64 + 4

add the integers

⇒ x = 68