53 Answered Questions for the topic Exponential And Logarithmic Functions

#### (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... more

#### 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

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... more #### 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... more #### 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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