Use logarithms to solve the problem. How long will it take $15,000 to grow to $18,000 if the investment earns interest at the rate of 4%/year compounded monthly? (Round your answer to two decimal places.)

Q: A population of a region is observed to be changing exponentially. Initially, the population had…

A: Answer

Q: You have 48,000 saved. How long will it take for that to double in value if it is 10% compounded? a)…

A: a) Initial amount =P= 48000 Final amount= A= 2(48000)=96000 Interest rate = r= 10%=0.10 time = t=?…

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

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Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: Logarithm function has domain as the whole of real numbers whereas range as only positive real…

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: Given: log98

Q: What is the natural logarithm of e³

A: Find the natural logarithm of e³.

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: Consider the provided logarithm function, log58 Use the Change-of-Base Formula and a calculator to…

Q: use an exponential model and a graphing calculatorto estimate the answer in each problem. Determine…

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Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Let the given expression be y - y = log1215y = log15log12…

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: log12 15Using the Change-of-Base formula.We get,logba=logcalogcb

Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: We have to find the value of log2 7.

Q: Describe in words what a logarithm is

A: Logarithm is the power to which number be raised in order to get other number.

Q: Condense the expression to the logarithm of a single quantity. 3 In(4) 8 In(z - 6)

A: Solution-

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Given to evaluate using the Change-of-Base Formula  log27 The change of base formula is  For any…

Q: Solve the following logarithmic equation. Give the exact value for full credit. log8(x+5) -…

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Q: How do you solve a logarithmic equation?

A: It is always better to submit the complete question on which you are working on. To solve the…

Q: The inverse of an exponential function is a logarithmic function

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Q: Why is e a convenient base for exponential and logarithmic functions?

A: The number  e  is very important in mathematics, alongside  0 , 1 , i , and π .  All five of these…

Q: Use the Change-of-Base Formula and a calculator to evaluate each logarithm. Round your answer to…

A: Given: log518

Q: A given population is growing exponentially at a rate of 19.78% per year. How long will it take the…

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Q: Find the solution of the exponential equation e2a +1 – 28 in terms of logarithms, or correct to four…

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Q: los (7x+8)=1ogex)

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Q: Rewrite the equation y = 6.5(0.43)x in terms of base e. Express the answer in terms of a natural…

A: Given- y=6.50.43x To find-  Rewrite the given equation in terms of base e, express the answer in…

Q: Write an equivalent exponential equation for the following common logarithm below: log 1000 = 3

A: Given,                 log 1000 = 3

Q: Using either logarithms or a graphing calculator, find the time required for the initial amount to…

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Q: $920 invested for 11 years yields a total of $1, 412.86. If interest is compounded continuously,…

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Q: Use logarithms to solve the problem. How long will it take an investment of $8000 to triple if the…

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Q: I. Express each exponential equation in its equivalent logarithmic equation. 2. 3 = n

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Q: use an exponential model and a graphing calculatorto estimate the answer in each problem. Determine…

A: A=P1+rnntP is the amount investedr is the rate of interestA is the amount invested after t years

Q: Solve this application using logarithms. How much principal, to the nearest dollar, should you…

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Q: Tell me about how another application in the real world, other than pH, uses logarithms to deal with…

A: To tell uses of logarithms

Q: A virus population follows the law of exponential change. If between 9am and 11am, the population…

A: Given: Population of virus follows a exponential growth function. Also, between 9 am to 11 am,…

Q: Condense the expression to the logarithm of a single quantity. 5 In(2) – 9 In(z - 3)

A: use logarithm identity:-                (i)  nln(m) = ln(m)n                (ii)  ln(m)-ln(n) = lnmn

Q: Condense the expression to the logarithm of a single quantity. log7(z - 6)

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Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: To evaluate the value of expression: log5(18). Solution: We know, the log base change formula is…

Q: The growth of a colony of bacteria can be described by exponential growth. If the colony initially…

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Q: In 2000 the population of a small village was 2,400. With an annual growth rate of approximately…

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Q: Find the logarithm. (Round to 4 decimals) In (0.00087)

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Q: Condense the expression to the logarithm of a single quantity. 6 In(2) – 3 In(z - 9)

A: Logarithmic Rules: logbMk=k logbM logbMN=logbM-logbN   6 log2-3logz-9 = log26-log(z-9)3 6…

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: an exponential equation, which conforms to the law of uninhibited growth, can model the population…

A: there are 600 inhabitants initially

Q: The population of a hornet nest experienced growth at a 20% monthly rate, compounded continuously.…

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Q: Use the change-of-base formula and a calculator to approximate the given logarithm. Round to 4…

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Q: Use the change of base formula and a calculator to evaluate the logarithm. Round your answer to two…

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Q: What is the yearly growth factor rounded to three decimal places?  The exponential function is…

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Q: Condense the expression into the logarithm of a single quantity.

A: Given7[8ln(x)-ln(x+7)-ln(x-7)]where x>7

Q: The population of deer in a park was 250. For 5 years, the population grew by 3% per year,…

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Q: Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to…

A: Given: y=log321 We know that  logab=log10blog10a…

Q: The number of bunnies at Long Beach City College is around 2,500. Assuming that the population grows…

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