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... more

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... more

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.
Logarithms Math Algebra Exponents

05/27/20

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... more
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 Math Trigonometry Proofs

05/20/20

Logs in equivalent forms including proof

Prove logxxy -2logxy = 1 - logxy 
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... more
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... more
Logarithms Algebra 2

01/27/19

Solve for x in the equation :)

log0.1(3x+5) + logx2/5= -1
Logarithms Calculus

01/23/19

Solve for x (logarithms)

3 ln x = logx e - 2

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 = ?
Logarithms Math Math Help Logarithm

08/31/18

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... more

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... more
Logarithms Expression Expand Logs

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... more
Logarithms Math Math Help

07/18/18

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... more
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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