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tatiyna
1 year ago
8

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

#SPJ1

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Solve for equation √-5p=√24-p
blsea [12.9K]

Answer:


Step-by-step explanation:

Algebra Calculator | Latest | Discuss | About | Help | Translation

25,219,829 solved | 850 online

p2-5p-24=0  

Two solutions were found :

    p = 8

    p = -3  

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  p2-5p-24  

The first term is,  p2  its coefficient is  1 .

The middle term is,  -5p  its coefficient is  -5 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

      -24     +     1     =     -23  

      -12     +     2     =     -10  

      -8     +     3     =     -5     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    p2 - 8p + 3p - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   p • (p-8)

             Add up the last 2 terms, pulling out common factors :

                   3 • (p-8)

Step-5 : Add up the four terms of step 4 :

                   (p+3)  •  (p-8)

            Which is the desired factorization

Equation at the end of step  1  :

 (p + 3) • (p - 8)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    p+3 = 0  

Subtract  3  from both sides of the equation :  

                     p = -3

Solving a Single Variable Equation :

2.3      Solve  :    p-8 = 0  

Add  8  to both sides of the equation :  

                     p = 8

8 0
3 years ago
what is the value of 8/15÷(-0.35) A -75/14 B -32/21 C -21/32 D -14/75 I would really appreciate it if you could also explain how
barxatty [35]
Answer;-1.5238095238
First step; 8/15

8/15 = 0.53 and so on in a repeating form. (0.53333333333)

Divide; 0.53 / -0.35 

= -1.5238095238

5 0
3 years ago
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kap26 [50]

Answer:

3. B

4. D

Step-by-step explanation:

3. The y-intercept is -4 and the slope is positive 2.

4.Substitute the values and check

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Kipish [7]
To find the best deal find the unit rate.
City express unit rate for pants per dollars is 1 pair : $20.33
Denim Planet unit rate is 1 pair : $36.50
New Threads Unit rate is 1 pair : $27.50
So City Express is the best deal

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romanna [79]

Answer:

Parallelogram

Result

Area = b × h

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<h2>60.5 cm²</h2>
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