16 Answered Questions for the topic Natural Logs

09/16/19

#### Solve the exponential equation. Express the solution as an exact answer in terms of natural logarithms

𝑒9−5𝑥=6981I got the decimal approximation of the answer but I have to enter the log version into webwork as well and because it is so specific about how the answer must be formatted I cannot seem...
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Natural Logs Differentiation

01/05/18

#### Differentiation- Urgent help needed

let 𝑈(𝑥, 𝑦) be defined for all x > 0, y > 0 by𝑈(𝑥, 𝑦) = ln(𝑥^a+y^a)-Ln(y^a) where 𝛼 is a positive constant
find U'1(x,y), U'2(x,y) and U''12(x,y)

Natural Logs Precalculus

11/09/17

#### If lnm= 2.5 and lnw= 3, find a value for ln(m^6w^7)

Please show work

Natural Logs

04/16/17

#### Solve the equation for for x. e (to the power of e) to the power of x = 15

(ee )x = 15

03/09/17

#### A pie cools in a 70 degree room. The pie is 300 degrees. After ten minuites the pie cools to 260 degrees

Create a formula then find the temp of the pie after 120 minuites

10/23/16

#### implicitly differentiate y=e^(-mx)

I don't get how to do this and I'm not sure how to use the ln
y' =

05/02/16

#### A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=400e^-0.032t....

A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t)=400e-0.032t,where t is time in years. Find the amount of radioactive lead remaining after
(a) 4...
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Natural Logs

01/13/16

#### Use natural logarithms to solve the equation. 8e3x + 9 = 13.

I am really confused how to solve this, and how to put it into a calculator.
A)0.337
B)-2.838
C)0.058
D)-0.231

12/04/15

#### Natural Logarithms

e9-4x = 7472 We need to express the solution in terms of natural logarithms, having both the EXACT answer and the DECIMAL APPROXIMATION.Somehow got the decimal approximation, but not the exact...
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11/04/15

#### Calculus + Natural Log + Derivative

Let f(x)= -5ln(6x)
I can't figure out how to find the fourth derivative.
f'(x)= -5/x
f'(4)= ___

02/11/15

#### The value of the new car purchased for $27600 depricates 10%per year.

Write an exponential decay model for the value of the car.After about how many years will the car be worth half of its purchase price?

Natural Logs

11/29/13

#### How do you prove log(a^x) = 1/log(x^a)

My teacher will give me extra credit if I can prove that
log(a^x) = 1/log(x^a)
Can you help? Thank you.

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