440 Answered Questions for the topic Logarithms

02/12/21

#### Given the following function: log₂ (x+5) - 1

Determine the characteristics for this function:Domain:Range:X-intercept:Asymptote:Increasing Interval:Decreasing Interval:Left End Behavior: Right End Behavior:

02/12/21

#### Solve the equation. Round to 4 decimal places when necessary.

(1/9)^k ⋅ 27^k+4 = (1/81)^3-k

02/12/21

#### PRE CALC AB - A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week.

A new app was downloaded 175 times in its first week. Since then, the number of downloads increased by 16.5% each week. a) Write a continuous exponential growth model to approximate the number of...
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02/12/21

#### PRE CALC AB - Kale invested $1,500 in an account with an interest rate of 6.5%.

Kale invested $1,500 in an account with an interest rate of 6.5%. a) Write an exponential equation to find the account balance in t years if the interest is compounded monthly? b) What will be the...
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02/12/21

#### PRE CALC AB - A decaying radioactive ore has a half life of 1710 years.

A decaying radioactive ore has a half life of 1710 years.a) Write the exponential decay function for a 27 gram sample. b) Find the amount remaining in 3000 years.

#### How do you solve for y in terms of x in this logarithmic equation?

log x + 2 log y = 3 log 2Answers are given as y = 2 x sqrt(2/x) / -2 x sqrt(2/x) (rejected) or y = sqrt(8/x) / y=-sqrt(8/x) (rejeted)I got 10^[log10(8/x)]/2, how do I solve for y in a manner that...
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Logarithms Algebra 2

05/23/20

#### How can the method of using logarithms to solve equations of the form 10^(mx+n)=c be related to solving scientific problems using logarithms in the form a(10^mx)=c?

How can the method of using logarithms to solve equations of the form 10^(mx+n)=c be related to solving scientific problems using logarithms in the form a(10^mx)=c?

Logarithms Algebra 2

05/20/20

#### Find a value of x so that 4 <log(x) <5. Explain your reasoning.

Find a value of x so that 4< log(x)<5. Explain your reasoning.

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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Logarithms

03/17/19

#### How do I use the properties of logarithms?

7log7(6). Use the properties of logarithms to simplify the expression

Logarithms Algebra 2

03/10/19

#### How do I approximate logarithms?

Approximate the logirithm logb75 using properties of logarithms, given logb2=0.3562, and logb3=0.5646, and logb5=0.8271.

Logarithms Calculus

02/18/19

#### Log rule confusion during : Log = 1 + Log

Log5(x2) = 1 + Log5(6)
Uses rule a=logb(ba) to get log5(x2) = log5(30)
x2= 30
x = square of 30
There is nothing online about “1 + logarithms” and when there is they expotentate. Why is this rule...
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09/21/18

#### evaluate the following in terms of x and y

If log p=x and log q=y, evaluate the following in terms of x and y:
#1) (log p^-4)/(loq q^-5) = ?
#2) (log p^5)^−3 = ?

#### Write the exact answer using base-10 logarithms.

9^-4x=4^x+10

08/06/18

#### Question about rewriting to log form

K(t) = 50 · 0.65t
This formula can be rewritten in a form t = A log (K) + B
Do this to find the values for A and B
Could someone please help me with this one?
Thank you.

08/03/18

#### Exponential function

K(t) = 50 · 0.65t
with t the time in hours.
For this formula calculate the growth factor per 15 minutes.
And, the forumila K(t) can be rewritten in a form t= A log(K) + B. Do this to...
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07/28/18

#### Transforming exponential functions to logarithmic

D(t) = 82.5 · 0.9982t with D the number of inhabitants in millions and t the time in years. t= 0 = the year 2008
The above mentioned equation describing the exponential growth of the number of...
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07/18/18

#### Expand the expression log(z^3/sq. rt. x^5y). Each logarithm should involve only one variable and should not have any radicals or exponents.

Please Use properties of logarithms to expand the expression. log(z^3/sq. rt. x^5y)Each logarithm should involve only one variable and should not have any radicals or exponents.You may assume that...
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#### Help with logarithms

An economist has found the following function for the number of mobile phones (in millions) sold worldwide since the year 2014: V(t) = 1244.74 · 1.1439t t= time in years. t=0 is the year 2014...
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Logarithms

07/04/18

#### More logarithms

Given log54=a and log34=b, express log21.8 in terms of a and b...
So how do you get two different bases from only log21.8.. are you supposed to like separate them to log29 - log25 ?

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