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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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Answer:

  put all of the expressions into the same form, such as standard form

Step-by-step explanation:

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Step-by-step explanation:

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if the breadth of rectangle in one third of its length and perimeter is 80 cm find length and breadth of rectangle​
LiRa [457]

Answer:

length = 30 cm

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Step-by-step explanation:

Length = x cm

Breadth = (1/3)x

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2*(\frac{3}{3}x+\frac{1}{3}x) = 80\\\\2*(\frac{4}{3}x) = 80\\\\\frac{8}{3}x = 80\\\\x = 80*\frac{3}{8}\\\\x = 10*3

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3 years ago
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