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
vodka [1.7K]
3 years ago
12

Which of the following is true regarding the solutions to the logarithmic equation below? 2 log Subscript 6 Baseline (x) = 2. lo

g Subscript 6 Baseline (x squared) = 2. x squared = 6 squared. x squared = 36. x = 6, negative 6. x = 6 and x = negative 6 are true solutions x = 6 and x = negative 6 are extraneous solutions x = 6 is a true solution and x = negative 6 is an extraneous solution x = 6 is an extraneous solution and x = negative 6 is a true solution
Mathematics
2 answers:
Serggg [28]3 years ago
4 0

Option c: x=6 is a true solution and x=-6 is an extraneous solution.

Explanation:

The equation is 2 \log _{6} x=2

Dividing both sides of the equation by 2, we get,

\frac{2 \log _{6}(x)}{2}=\frac{2}{2}

Simplifying,

\log _{6}(x)=1

Since, we know by the logarithmic definition, if \log _{a}(b)=c, then b=a^{c}

Using this definition, we have,

x=6^{1}

Hence, x=6

Now, let us verify if x=6 is the solution.

Substitute x=6 in the equation 2 \log _{6} x=2 to see whether both sides of the equation are true.

We have,

2 \log _{6}(6)

Using the log rule, \log _{a}(a)=1

We have,

2*1=2

Hence, both sides of the equation are equal.

Thus, x=6 is the true solution.

Lapatulllka [165]3 years ago
3 0

Answer:

C is the answer i got it correct

Step-by-step explanation:

You might be interested in
Find the median of the table below. NUMBER OF INCHES 22 24 26 FREQUENCY 3 2 1 3​
Nesterboy [21]

Answer:

24 or 2.5

Step-by-step explanation:

I'm not sure if it was the median of the inches or responses so if it was inches its 24 and if it's the 3 2 1 3 its 2.5

6 0
3 years ago
Do all of the digits in 8.88 have the same value? and explain why.
tester [92]

Answer:

No

Step-by-step explanation:

Mitochondria is the powerhouse of the cell

7 0
2 years ago
Which list orders the numbers from least to greatest
DENIUS [597]
The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8
5 0
2 years ago
What do you look for when solving name word problem
Alexxx [7]
The main numbers and ratios or rates depending on the problem
7 0
3 years ago
Solve the equation. X- 8 = 12
beks73 [17]

Answer:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Sofi has $60. She buys jeans that cost $43.99 on sale. How much money will she have left to buy something at the Christmas bouti
    10·2 answers
  • 3
    5·1 answer
  • Are there only two prime numbers that differ by 1?
    7·1 answer
  • −2(−1 1/4) Multiply. Write your answer as a fraction in simplest form.
    15·2 answers
  • What is the result of subtracting the second equation from the first?
    5·2 answers
  • Find the area of a polygon with the given vertices J(-3,4) K(4,4) L(3,-3)
    10·1 answer
  • Hello guys i need help
    15·2 answers
  • a right cone has a slant height of 17 feet and the diameter of the base it 30 feet. what is the height of the cone?
    13·2 answers
  • Solve the rational equation:
    6·1 answer
  • don't worry about the other writing I want to see it worked out step by step so I can work the rest out and learn how to do them
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!