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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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Read 2 more answers

-3/v=-6 simply as much as possible

Aleksandr [31]

Hey!

In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

Original Equation :
$\frac{-3}{v} = -6$

New Equation {Added Multiply Both Sides by V} :
$\frac{-3}{v} v=-6v$

Solution {New Equation Solved} :
$-3 = -6v$

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

Old Equation :
$-3 = -6v$

New Equation {Switched} :
$-6v=-3$

Now we'll divide both sides by v to get v on its own.

Old Equation :
$-6v = -3$

New Equation {Added Divide Both Sides by V} :
$\frac{-6v}{v} = \frac{-3}{v}$

Solution {New Equation Solved} :
$v = \frac{1}{2}$

So, this means that in the equation $\frac{-3}{v} =-6$ , $v = \frac{1}{2}$ .

Hope this helps!

- Lindsey Frazier ♥

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3 years ago

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!

adoni [48]

Answer:

t = 8

Step-by-step explanation:

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