53 Answered Questions for the topic Exponential And Logarithmic Functions

#### Use the function f(x)=-3^(x+2)+4 to find the y-intercept of f(x) algebraically

Please explain and show work :)

#### A banker invests $5,000 at a 4% interest rate compounded continuously. How long will it take the bank’s money to triple? Round to the nearest tenth.

I just need help with these problems.

#### How would I put the function: y= 80 cosh (x/80) - C in the formula to calculate the arc length of a curve

To calculate the arc length of a curve

#### (a) 6^2x = 250 (b) log3 (x-3) + log3 (x-7) = 4

Round answers to four decimal places.

#### Find the Inverse of f(x)= ln(e^x-5)

Find the Inverse of f(x)= ln(e^x-5). Any help will be apprecaited. An answer with a stepwise explanation would be excellent.
Thanks in advance.

#### Algebra 2- Solving Logarithmic/Exponential Functions

−4log5 x−5≥3 (the 5 next to the log is slightly below the log, for the log base I could also add a photo but I don't see an option and it failed when trying to copy and paste it. I am supposed to...
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#### How fast does the bacteria doubles and quadruples?

A researcher is investigating a specimen of bacteria. She finds that the original 1000 bacteria grew to 2,048,000 in 60 hours. How fast does the bacteria (a) double? (b) quadruple?

#### domain and range of g(x)=4^x-6

Domain and rameh in interval notation

#### What is the equation of the horizontal asymptote of g(x)=4^x-6

Need to find the horizontal asymptote of the equation and the domain, range in interval notation

#### PLEASE HELP exponential and log word problem

Bailey is saving money to buy a new car in 2 years. Find the amount she needs to invest now in a certificate of deposit that pays 10 percent compounded continuously in order to have $5000 for her...
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#### Compounding Weekly

How much do you need to invest in an account earning an annual interest rate of 2.938% compounded weekly, so that your money will grow to $7,880.00 in 50 weeks?

#### Compounding Continously

John wants to buy a new sports car, and he estimates that he'll need to make a $4,325.00 down payment towards his purchase. If he has 35 months to save up for the new car, how much should he...
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#### solve the problem

The function D(h) = 5e-0.4h can be used todetermine the milligrams D of a certain drug ina patient's bloodstream h hours after the drughas been given. How many milligrams (to twodecimals) will be...
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#### f(t)=10/1+e^-.1t

I need to find a formula for f-1(t) do I set the funtion =0 =x or what?

#### how many years will it take you to triple your money at 10% interest compounded annually?

Needs to be rounded to the nearest hundredth.

#### Grandparents of a new-born child want to invest money in a college fund so that their grandchild will have $50,000 at the age 18. The interest rate at the bank

Grandparents of a new-born child want to invest money in a college fund so that their grandchild will have $50,000 at the age 18. The interest rate at the bank is 4.25%. If the maximum amount that...
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#### Grandparents of a new-born child want to invest money in a college fund so that their grandchild will have $50,000 at the age 18. The interest rate at the bank

Grandparents of a new-born child want to invest money in a college fund so that their grandchild will have $50,000 at the age 18. The interest rate at the bank is 4.25%. If the interest was...
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#### Is my answer correct?

The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.a. Use the exponential growth model to write an equation that estimates the population t years after...
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#### How long will it take for an investment of $1,000 to double in value if the interest rate is 7.5% per year, compounded continuously?

I'm doing test corrections for my pre-cal class and Ive got the answer (9.24 years) i just need to know how to get there because I used the wrong equation the first time (2000=1000e^7.5t).

#### exponential equation questions

1.Evaluate log264+log327×log41/254
2.solve for x 2log4(x+4)-log4(x+12)=1
3.solve the equation (cube root256^2)×16^x=64^x-3
4.3x=9^(x^2-1/2) solve for x

#### Can you write the following in expotential form?

log5(the five is in the bottom)625=4

#### I really don't have a clue on how to figure it out. The book doesn't help with other examples

Solve the equation analytically
3ln(x)-2=1-ln(x)
%MCEPASTEBIN%

#### 2^(2x+14)=3^(x-17)

Could someone please explain to me the steps to solving this problem. I know it has something to do with logarithms.

#### The population grew from 8000 to 15000 in 8 years. Assuming uninhibited exponential growth, what is the expected population in an additional 2 years

The population grew from 8000 to 15000 in 8 years. Assuming uninhibited exponential growth, what is the expected population in an additional 2 years?

#### equal slopes of tangent lines for f(x) and g(x)

f(x) = 2e3x
g(x) = 6x3
When are the slopes of the tangent lines of these two functions equal ?
Please explain well.
THANKS !

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