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1 year ago

Log((4x)/(8))=log(x-5)

Mathematics

1 answer:

creativ13 [48]1 year ago

8 0

The given logarithmic equation solved for x is x = 10

<h3>Solving Logarithmic equations</h3>

From the question, we are to solve the given logarithmic equation.

The given logarithmic equation is

log((4x)/(8)) = log(x - 5)

To solve the given logarithmic equation, we will determine the value of the unknown variable.

The unknown variable in the equation is x.

From one of the rules of logarithm, we have that

If logₓY = logₓZ

Then,

Y = Z

Thus,

From log((4x)/(8)) = log(x - 5)

We can write that

(4x)/(8) = (x - 5)

Now, solve for x

(4x)/(8) = (x - 5)

Multiply both sides by 8

8 × (4x)/(8) = (x - 5) × 8

4x = 8x - 40

Subtract 8x from both sides of the equation

4x - 8x = 8x - 8x - 40

-4x = -40

Multiply both sides by -1

-1 × -4x = -1 × -40

4x =40

Divide both sides by 4

4x/4 = 40/4

x = 10

Hence, the solution of the equation is x = 10

Learn more on Solving logarithmic equation here: brainly.com/question/237323

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Step-by-step explanation:

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RideAnS [48]

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Step-by-step explanation:

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As you know 1 kg = 1000g

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2 years ago

If CF = 5, CD = 12, and EF = 5, what is the perimeter of triangle CDE?

Basile [38]

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3 years ago

Statistics question; please help.

Alex_Xolod [135]

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Does this sample provide convincing evidence that the machine is working properly?

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Step-by-step explanation:

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3 years ago

The distance from earth to the moon is about 22^4 miles.The distance from earth to neptune is about 22^7 miles.Which distance is

fiasKO [112]

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