1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonja [21]
4 years ago
10

If logx (8x-3) -logx 4=2, the value of x is

Mathematics
1 answer:
Vaselesa [24]4 years ago
3 0

Answer:

x = 1/2 and 3/2

Step-by-step explanation:

The given equation is logₓ (8x-3) - logₓ 4 = 2

Then we have to determine the value of x.

logₓ [\frac{(8x-3)}{4}] = 2    [ since log a - log b = log (\frac{a}{b}) ]

Now x^{2}=\frac{(8x-3)}{4}   [if log_{a}b = c then a^{c} = b]

4x² = 8x -3

4x² - 8x + 3 = 0

(2x)² - 2(4x) + (4-4) + 3 = 0

[(2x)² - 2 (4x) + 4 ] - 1 = 0

(2x - 2)² = 1

(2x - 2)² = ± 1 ⇒

2x - 2 = 1       and      2x - 2 = -1

x = 3/2                        2x = 1

                                    x = 1/2

Therefore, x = 1/2 and 3/2 are the answers.

You might be interested in
Becky needs to put 4 cups of flour into her bread maker to make one loaf of bread. She is using a measuring cup that holds 13 cu
pav-90 [236]

Answer:

12

Step-by-step explanation:

From the above question, we ate told that:

Becky needs to put 4 cups of flour into her bread maker to make one loaf of bread.

The size of her measuring cup = 1/3 cup

The number of 1/3 cups of flour she will need to make a loaf of bread is calculated as:

4 cups of flour ÷ 1/3 cup of flour

= 4 cups of flour × 3/1 cup of flour

= 12

4 0
3 years ago
A caterer prepared a turkey that weighed 22 1/2 pounds.Each serving of the turkey will be 1/3 pound.How many whole servings will
AlladinOne [14]
1/2 1/2 1/2 1/3
1 \times 2 = 3
8 0
3 years ago
Read 2 more answers
Please help me with this and explain how u did it step by step
joja [24]

The domain of the third piece of the graph is contained in interval <u>B. (12, 20)</u>.

<h3>What is the domain of a graph?</h3>

The domain of a graph consists of all the input values shown on the x-axis.

The input values (domain) are shown on the x-axis, unlike the range, whose output values are shown on the y-axis.

Therefore, the domain comprises the independent variables or values, which can be determined using the function, y = f(x).

Thus, the domain of the third piece of the graph can be determined in interval <u>B. (12, 20)</u>.

Learn more about domain and range at brainly.com/question/10197594 and brainly.com/question/2264373

#SPJ1

6 0
2 years ago
FREE GIVE AWAY IN 5 MINUTES
Olegator [25]

Answer:

Thanks.......... follow me

8 0
3 years ago
Read 2 more answers
A group of 266 persons consist of men , women and children and there are four times as many men as children and twice as many wo
klasskru [66]

Answer:

see explanation

Step-by-step explanation:

Let c represent the number of children, then

number of men = 4c and number of women = 2c

Sum the numbers of each and equate to 266

4c + 2c + c = 266, that is

7c = 266 ( divide both sides by 7 )

c = 38

Thus

4 × 38 = 152 and 2 × 38 = 76

The group consists of 38 children, 152 men and 76 women

3 0
3 years ago
Other questions:
  • John is making himself a lunch. He has 3 different soups to choose from, 4 kinds of pop, and 3 different kinds of fruit. How man
    9·1 answer
  • 3x + 2(4x - 4) = 3 <br><br><br><br> HELPPPPPPPP!!!!!!!
    14·1 answer
  • So I need to pull an all nighter and reset my sleep schedule. But the problem is I'm too stupid to solve some math, so I need yo
    11·2 answers
  • Investing $10,000 in a saving account at 5% annual interest compounded semiannually will result in approximately how much money
    14·1 answer
  • How do I multiply a decimal with another decimal?
    13·2 answers
  • Https://brainly.com/question/19893840
    13·1 answer
  • Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
    12·1 answer
  • 4. Find the product. 0.4 x 1.5 X 18p​
    5·1 answer
  • the number line goes from 0 to 1 and is subdivided into tenths Describe where youd locate the point 15/25
    5·1 answer
  • Write the slope-intercept form of the equation that passes through the point (-2,2) and is parallel to the line y = 3x - 5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!