Write each expression as a single natural logarithm. 2ln 8-3ln 4

Braxton Pugh 2021-03-02 Answered
Write each expression as a single natural logarithm. 2ln83ln4
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

stuth1
Answered 2021-03-03 Author has 97 answers
Apply Power Property: lnmn=nlnm
=ln82ln43
=ln64ln64
Apply Quotient Property: lnmn=lnmlnn
=ln6464=ln1
Note that ln1=0 but since we are asked to write as a single natural logarithm, then we leave the answer as is ln1=0
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2022-03-26
How can we interpret the difference between two log points? Is it correct to interpret this difference in percentage points?
asked 2022-03-26
How can I calculate limx0log(cos(x))log(cos(3x)) without l'Hopital?
asked 2021-11-10
Solve, 3log80ln5log5
asked 2022-01-23
Find the differential of each function.
(a)y=x2sin(4x)
dy=
(b)y=ln((1+t2))
dy=
asked 2022-06-01
logarithmic derivative of x e ( x 2 + cos x )
I'm having a hard time taking the derivative of
f ( x ) = x e ( x 2 + c o s x ) .
I'm aware that I have to take the logarithm of both sides.
ln ( y ) = ln ( x e ( x 2 + cos x ) ) = ln ( x ) e ( x 2 + cos x )
Which I tried to untie, so lets start: First I use the product rule:
1 y y = 1 x e ( x 2 + cos x ) + ln ( x ) e ( x 2 + cos x )
Next the power rule:
1 y y = 1 x e ( x 2 + cos x ) + ln ( x ) e ( x 2 + c o s x ) x 2 + cos x e ( x 2 + cos x ) 1
Then I bring the y to the right:
y = y ( 1 x e ( x 2 + cos x ) + ln ( x ) e ( x 2 + cos x ) x 2 + cos x e ( x 2 + cos x ) 1 2 x sin x )
And exchange y with the term:
y = x e ( x 2 + cos x ) ( 1 x e ( x 2 + cos x ) + ln ( x ) e ( x 2 + cos x ) x 2 + cos x e ( x 2 + cos x ) 1 2 x sin x )
This is extremely overwhelming for me and I have absolutely no clue if this is right, I looked in to the result of wolfram and It doesn't seem to be correct. Any help would be appreciated.
asked 2022-04-14
Lambert W / Product log function?
I would like to solve this equation:
n2n=15000
And according to WolframAlpha
n=W(15000log(2))log(2),  where  log  is ln
Which shows that I need to use the product log function W which I tried looking up on wikipedia. I don't need the complex numbers, just real numbers.
Additionally, are there ways of solving the original equation without the W functions?
Can someone explain the rules and how to do this please?
I would eventually like to implement a way to find n programmaticly (if possible-in python).
asked 2021-10-12
Determine whether the following statement is true or false, and explain why.
ln4ln8=ln4ln8