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gayaneshka [121]
2 years ago
9

Solve: log8 (x - 4) = 2

Mathematics
2 answers:
Black_prince [1.1K]2 years ago
7 0

Answer:

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.

Vsevolod [243]2 years ago
4 0

Answer:

x = 68

Explanation:

⇒ log₈(x - 4) = 2

<u>apply log rules</u>: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

<u><em>simplify</em></u>

⇒ x - 4 = 64

<u><em>add 4 on both sides</em></u>

⇒ x = 64 + 4

<u><em>add the integers</em></u>

⇒ x = 68

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<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

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<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

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Answer:

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Step-by-step explanation:

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