a. If (ln x)/x = (ln 2)/2, must x = 2? b. If (ln x)/x = -2 ln 2, must x = 1/2? Give reasons for your answers.

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

A:

Q: -1)*+1 Ln=1 ¯n•I0* O error| < 2 × 10 -6 O error| < 2.5 × 10-6 O error| < 2.5 × 10–5 O error| < 10-5

A: Given: ∑n=1∞-1n+1n.10n. All the options have 6th term expanded. Therefore, we will check for , n=6.…

Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln(x - 3) = 2

A: Take anti-logarithm on both sides of equation lnx-3=2. elnx-3=e2x-3=e2 ⋯ (1)

Q: The half-life of a radioactive material is the time required for an amount of this material to decay…

A: Solving the differetial equation: Q'=-rQ

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

A:

Q: • In+1 = ln xn

A: We find it as below.

Q: In(-3 +3/3j)

A:

Q: If (ln x)/x = -2 ln 2, must x = 1/2?Give reasons for your answers.

A:

Q: Obtain all values of ln (−4)

A: ln(-4)

Q: Which of the following is the same as ln(9x) - ln(3x)? (a) ln 6x (b) ln(9x)/ln(3x) (c) 6 . ln(x) (d)…

A: Given: The expression ln9x-ln3x . By using the logarithmic property lna-lnb=lnab, the given…

Q: 1. The population of Kuhala Island doubles every 3 decades. 2. The amount of radioactive isotope of…

A: Whether each given is an exponential function, exponential equation, or exponential inequality or…

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: 1. The population of a certain community follows the law of exponential CIAnge. Il uio prubom |…

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: Evaluate the expression, ln (1/e2)  without using a calculator. If evaluation is not possible, state…

A: Evaluate: ln1e2

Q: Solve the given equation for x.   ln x4 - 2 ln x = 1

A: lnx4-2 lnx=1

Q: Solve the given equation for x.  ln(x + 1) - ln(x - 2) = 1

A: According to the logarithm quotient rule, ln x-ln y=ln xy. Using the logarithm quotient rule combine…

Q: Find simpler expressions for the quantities ln (e2 ln x)

A: Given: y=lne2lnx we know that lnm.n=lnm+lnn

Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln x = 2

A: We know that, from the property of logarithm lna=b⇔eb=a

Q: 2-if y³ = ln xx

A: Please refer to the image below

Q: Suppose that $1,000 is invested at 5% interest compounded continuously. Use the formula A = Pert.…

A: It is given that $1,000 is invested at 5% interest compounded continuously. That is, P=1000,r=5%.…

Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln 4x - 1=2

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: What are the values of e ln 300

A: eln x=x

Q: what is exact value? 1) ln(ln(x))=0 2) 30/(4+e-x) = 3

A:

Q: If $8000 is invested at 5% compounded continuously, what is the amount after 3 years? The amount…

A: According to the given information, it is required to calculate the amount after 3 years.…

Q: In the given question/ as follows, solve for x accurate to three decimal places? ln √x - 2 = 1

A: lnx-2=1

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

A:

Q: - In 8 e³ -5 ln(

A:

Q: If $12, 000 is invested at a rate of 3% per year compounded continuously, find value of the…

A: The formula for continuously compounded interest is, A=Pert where P is the principal amount, r is…

Q: 10 - What is the total amount of 4200 TL with 3,8 % continuously compound interest after 4 years? a)…

A: Given that,initial principal amount,P=4200 Rate of interest,i=0.038 Number of years of deposit,N=4

Q: Find simpler expressions for the quantities eln πx-ln 2

A: Given,           elnπx-ln2

Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314c), you can derive a rule of thumb that…

A: Formula of compound continuously is

Q: What is the effective rate corresponding to 18% compounded daily? Take 1 year is equal to 360 days

A:

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: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

A:

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

A:

Q: At what interest rate compounded continuously must money be invested to double in 4 years? A rate of…

A: Use formula of compounded continuously

Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314 c), you can derive a rule of thumb…

A: Given a rule of thumb that says, “To estimate how many years it will take an amount of money to…

Q: If $8000 is invested at 6% compounded continuously, what is the amount after 2 years? The amount…

A:

Q: If 18g of a radioactive substance are present initially and 4 yr later only 9g​ remain, how many gs…

A: It is simple unitary method problem.

Q: At what interest rate compounded continuously must money be invested to triple in 4 years? A rate of…

A:

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: At what interest rate compounded continuously must money be invested to double in 9 years? A rate of…

A: