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
Tomtit [17]
3 years ago
10

Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as a sum, difference,

or multiple of logarithms.
In (x^2 - 1)^1/3
Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:  \dfrac{1}{3}[\ln (x+1)+\ln(x-1)]

Step-by-step explanation:

Properties of logarithm :

  1. \log (ab)= \log a+\log b
  2. \log(\dfrac{a}{b})=\log a-\log b
  3. \log a^n= n\log a

The given expression in terms of Natural log : \ln (x^2 - 1)^{\frac{1}{3}}

This will become \dfrac{1}{3}\ln (x^2 - 1)      [ By using Property (3)]

=\dfrac{1}{3}\ln (x^2-1^2)

=\dfrac{1}{3}\ln ((x+1)(x-1))   [\because a^2-b^2=(a+b)(a-b)]

=\dfrac{1}{3}[\ln (x+1)+\ln(x-1)]   [ By using Property (1)]

Hence, the simplified expression becomes \dfrac{1}{3}[\ln (x+1)+\ln(x-1)] .

You might be interested in
A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimet
WINSTONCH [101]

Answer:

D. 100 cm^2

Step-by-step explanation:

i did this before so ik im right

8 0
2 years ago
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​
Amanda [17]

Answer: -8 is the answer.

Step-by-step explanation:

according to the question:

{{(8+4)*5}/(-10)}-2

= {[12*5}/(-10)]-2

= [60/(-10)]-2

= -6-2 = -8

4 0
2 years ago
Read 2 more answers
Nine times the sum of 8 and the some number of 117
Delicious77 [7]
Is it 8+117=125x9=1125
3 0
3 years ago
Read 2 more answers
Please help with this question it is super important
Lunna [17]

Answer:

P=7

Step-by-step explanation:

3 0
3 years ago
What is the distance between the points (4, -8) and (10,8)?
LuckyWell [14K]

Answer:

you can not find the distance between them

Step-by-step explanation:

there are no like numbers, if the problem was 4, -8 and 4, 8 i could solve it, so sorry

3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve 3^4x+5=(1/3)^x+10 for x. please show work
    12·1 answer
  • Which statements about opposites are true?
    9·1 answer
  • How do you solve this ?
    15·1 answer
  • Graph this equation Y=3x
    14·1 answer
  • Divide, and then round the answer to two decimal places:<br><br> 0.6256108÷0.527
    14·1 answer
  • Select the most likely answer for the coefficient of linear correlation for the following two variables: x = the number of hours
    8·1 answer
  • If the cross section shown is congruent to the base of the rectangular prism above, what is true about the cross
    14·1 answer
  • Please help me....im literally desperate! 25pts and BRAINLIEST!!!
    15·1 answer
  • Evaluate: 2-^4=<br> A.1/16<br> B.1/8<br> c. -8<br> D.-16
    11·1 answer
  • your birthday is coming up and your parents said you could invite your friends to a concert by your favorite band. ticket prices
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!