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
yulyashka [42]
3 years ago
6

Which expression is equivalent to log Subscript w Baseline StartFraction (x squared minus 6) Superscript 4 Baseline Over RootInd

ex 3 StartRoot x squared + 8 EndRoot EndFraction?
4 log Subscript w Baseline StartFraction x squared Over 1296 EndFraction minus one-third log Subscript w Baseline (2 x + 8)
4 log Subscript w Baseline (x squared minus 6) minus one-third log Subscript w Baseline (x squared + 8)
4 log Subscript w Baseline (X squared minus 6) minus one-third log Subscript w Baseline (x squared + 8)
4 (log Subscript w Baseline x squared minus one-third log Subscript w Baseline (x squared + 8) minus 6)
Mathematics
2 answers:
nadya68 [22]3 years ago
6 0

Answer:

its c

Step-by-step explanation:

zysi [14]3 years ago
3 0

Option b: 4 \log _{w}\left(x^{2}-6\right)-\frac{1}{3} \log _{w}({x^{2}+8}) is the correct answer.

Explanation:

The expression is \log _{w}\left(\frac{\left(x^{2}-6\right)^{4}}{\sqrt[3]{x^{2}+8}}\right)

Applying log rule, \log _{c}\left(\frac{a}{b}\right)=\log _{c}(a)-\log _{c}(b), we get,

\log _{w}\left(\left(x^{2}-6\right)^{4}\right)-\log _{w}(\sqrt[3]{x^{2}+8})

Again applying the log rule, \log _{a}\left(x^{b}\right)=b\cdot\log _{a}(x), we get,

4 \log _{w}\left(x^{2}-6\right)-\log _{w}(\sqrt[3]{x^{2}+8})

The cube root can be written as,

4 \log _{w}\left(x^{2}-6\right)-\log _{w}({x^{2}+8})^{\frac{1}{3} }

Applying the log rule, \log _{a}\left(x^{b}\right)=b\cdot\log _{a}(x), we have,

4 \log _{w}\left(x^{2}-6\right)-\frac{1}{3} \log _{w}({x^{2}+8})

Thus, the expression which is equivalent to \log _{w}\left(\frac{\left(x^{2}-6\right)^{4}}{\sqrt[3]{x^{2}+8}}\right) is 4 \log _{w}\left(x^{2}-6\right)-\frac{1}{3} \log _{w}({x^{2}+8})

Hence, Option b is the correct answer.

You might be interested in
Where do i graph it
Anuta_ua [19.1K]
(-5,-10)E
(-5,-3)F
(-3,-10)G
7 0
3 years ago
Read 2 more answers
What is 8 divided by 645 in 5th grade
Tatiana [17]
That equals <u>.0124031008</u>
7 0
3 years ago
Read 2 more answers
X - (6.9) = 42.8<br><br> x = 42.8 +
Harman [31]
I hope this helps you



x=42.8+6.9



x=49.7
4 0
3 years ago
Read 2 more answers
Find the value of x.
mixas84 [53]

Answer:

x=3

Step-by-step explanation:

BRAINLIEST plzzzzzzzzzzzzzzzzzz

8 0
3 years ago
Abcd is a parallelogram. Photo provided
Savatey [412]
The correct answer is A. 120 ft squared because you must multiply the height times the width which comes to 120.
8 0
3 years ago
Other questions:
  • Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 3 1/2 years, she had earned $36.40
    10·2 answers
  • The graph shows the relationship between the number of athletes and the cost in dollars of climbing shoes.
    8·2 answers
  • Simplify the expression <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B4x%2B7%7D%7B2%7D%20-%5Cfrac%7B3x-2%7D%7B2%7D" id="TexFormul
    12·1 answer
  • Which of the following is the inverse of the relation {(1, 5), (2, 6), (1, 7), (4, 8)}? Select the correct answer below. A. {(1,
    13·1 answer
  • Help me solve 1 &lt;2n-5 &lt;_7 also please explain
    6·1 answer
  • 1 is 25% of what numder
    12·1 answer
  • Danielle earns a 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary
    13·1 answer
  • Ill give brainest i need help please
    7·2 answers
  • What 3/4 x 5/8 in fraction
    9·2 answers
  • Write each of the following expressions as a^n or a^n b^m,
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!