Without showing the details, explain how to condense ln x - 2 ln(x + 1).

Q: Find the exact value of the expression 321/ln 2

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Q: log.x X Y₁

A: Given;  logx[x/(y sqrt z) ].

Q: log₂ x+1 y² √√z

A:

Q: Solve the equation for x.  ln 3x = ln 5

A: Solving for xln3x=ln5

Q: Determine all values of In(-2 ln(i)).

A:

Q: At what value(s) of x does ln (1 - x2) = x - 1?

A: We need to find the solution of the equation given by

Q: Solve: ln(x + 2) - ln(4x + 3) = ln (1/x).

A: GivenIn(x+2)-In(4x+3) = In(1/x)We have to solve this equation We have In(x+2)-In(4x+3) = In(1/x)We…

Q: What is the compound interest if $176,000 is invested for 6 years at 8% compounded continuously. The…

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Q: how did you get ln n - ln 2

A: Given sequence  an = (ln3-ln2)+(ln4-ln3)+(ln5-ln4) +.... We observe this series This series going to…

Q: Show that 1 csch-1x = ln 1 + 1 (

A: Here we have to show that cosh-1x=ln1x+1x2+1

Q: - (a) cosh(ln 5) (b) cosh 5

A:

Q: . How is the graph of log x related to the graph of ln x?

A: Here , ln x represents the natural logarithm where its base is e whereas the base of log x is 10 .…

Q: Find an approximate value of ln20.

A: e3=20.0855369232  We will use this to approximate ln(20)   Let us take a function f(x)=ln(x) And…

Q: Differentiate the Logarithmic function: y = 3 ln square root of x

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Q: • In+1 = ln xn

A: We find it as below.

Q: Whats the integral of (log_base8(8x))/x dx?

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Q: use logarith mic diffavehtiation to find y) Sinx

A: Given, y=cos2xsinx To find y'.

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: Calculate without using a calculator. ln 1

A:

Q: 6) In(x²) = (ln x)²

A: These are all unrelated problems since anyone can be solve without any help of another. So by…

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104  dollarsr=0.062t=2  years

Q: 3) Evaluate for ln(x + 1)dr

A:

Q: Solve for x accurate to three decimal places. ln 4x = 1

A: To solve the equation ln4x=1 We know that logax=b⇒x=ab Solving the given equation, using…

Q: y = ln √4x² (Hint: Apply first a property of LOG.)

A: Let's find first derivative.

Q: Differentiate log sin x by first principles.

A:

Q: Determine whether the following statement is true or false, and explain why. (ln 3)4 = 4 ln 3

A: We know that, ln an=n ln a ; n is an integer

Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Let the time taken be t years

Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

Q: use exponent laws to explain why 3 ln 2 is equivalent to ln8

A: By exponent law     mlna = lnam    for any a and m.

Q: What is the ln of 1/time if the time is 359.4 seconds?

A: SOLUTION:-

Q: Evaluate ln( – 0.003). Give your answer to 4 decimal places. - In( – 0.003) -

A: Topic- Function

Q: Evaluate ln(0.109) Give your answer to 4 decimal places. ln(0.109)=?

A: Solve this

Q: Solve for x accurate to three decimal places   ln x = 2

A: Given: lnx=2 we know that if lnm=n then m=en similarly, lnx=2x=e2x=7.3890x≈7.389

Q: lim log, (8X – 4) x→∞

A: The given limit is: limx→∞log28x-4 This can be written as:…

Q: What is the value of ln ( e8)?

A:

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period 4…

A: A= P ert

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Definition:                                Let f(x) and g(x) be positive for x…

Q: Solve exactly:  6 ln(x) = 5

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Q: ln ex = log1313x

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Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: Find simpler expressions for the quantities e-ln x2

A: e-lnx2

Q: When is ln x negative?

A: When is ln x negative?

Q: Use logarithmic differentiaion to evaluate f`(x) f(x) = (5x)^(ln 5x)

A: