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Solve: log8 (x - 4) = 2

Sagot :

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Answer:

x = 68

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

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Answer:

x = 68

Step-by-step explanation:

Given equation:

[tex] \rm log_{8}(x - 4) = 2[/tex]

To Find:

Value of x

Solution:

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

[tex] \implies {8}^{2} = x - 4[/tex]

Now find the value of x.

[tex] \implies \:64 = x - 4[/tex]

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

[tex] \implies \: 64 + 4 = x[/tex]

Overturn the equation

[tex] \implies \: x = 68[/tex]

Thus, value of x is 68.

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