•How to solve exponential equations algebraically using common bases 5) : Solve 25²*-l = 1253x+4

Q: Solve each exponential equation.Express irrational solutions in exact form and as a decimal rounded…

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Q: How long will it take $10,000 to triple if it is compounded continuously at 6.75%. State your answer…

A: A = p(1+r/n)nt A = future amount p = principal investment r = interest rate in decimal form n = #…

Q: The half-life of the radioactive element unobtanium-29 is 10 seconds. If 80 grams of unobtanium-29…

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Q: A mother is now 4 times as old as her daughter. In 4 years, the mother will be six times as old as…

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Q: Because the equations log(3x + 1) = 5 and log(3x + 1) = log 5 are similar, I solved them using the…

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Q: Solve: ln x = ln(x + 6)- ln(x - 4)

A: The properties of logarithms can be used to solve the problem. Now, it is observed that the…

Q: Solve: ln(x - 3) = ln(7x - 23) - ln(x + 1).

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Q: Solve ln(x^2−5x)=ln(6)

A: We have to solve

Q: Find exponential equation by using these two point (-2,6) and (3,1)

A: Consider y=aebx for some real numbers a and b. As (-2,6) satisfies the equation,…

Q: ln(x+2)=7

A: We have to solve for x

Q: Solve ln 6

A: log106log102 * 3log102 + log1030.3010 + 0.4771= 0.7781

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Given information: Initial amount=Q0=7 mgHalf life=t12=5730 years

Q: Solve ln x - 32 ln x + 2 = 0

A: Given: lnx-32lnx+2=0 For finding value of x, we simplify given expression

Q: Solve the equation ln 3 - ln(x + 5) - ln x = 0.

A: Consider the given equation  ln3-lnx+5-lnx=0 Now find the domain x+5>0 and x>0 then take…

Q: The half-life of the radioactive element unobtanium-31 is 5 seconds. If 176 grams of unobtanium-31…

A: To explain the given problem

Q: Equation  7-3 * log3(5x) = log3(3x+7) - 2 * log3(x-9)   Collect the logs into one. Dont need to…

A: Given, The logarithmic equation  7-3× log3(5x) = log3(3x+7) - 2×log3(x-9)  We have to collect the…

Q: Solve ln 0.5

A: To find: The value of expression ln 0.5. Concept used: Quotient rule of logarithmic: ln ab=ln a- ln…

Q: Write in exponential form. Give the exact solution.

A: Given

Q: If an initial population Po of bacteria doubles in 6 hours, how long will it take to triple (grow to…

A: Given that  6 hours to take doubles the initial population

Q: Solve. 4 log:(21 - 7) = 8

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Q: Solve the exponential equation. Express irrational solutions in exact form. 31-3x - 5X .....

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Q: Solve each exponential equation.Express irrational solutions in exact form and as a decimal rounded…

A: To solve the exponential equation π1-x=ex Taking ln on both sides       ln(π1-x)=ln(ex)…

Q: How many years will it take a $766 investment to be worth $1,123 if it continuously compound at 6%…

A: Given Data: The initial investment is: P=$766 The final worth is:Pt=$1123 The continuously…

Q: Solve ln(3x+2)−ln(10)=ln(5)

A: Given that       ln(3x + 2) - ln(10) = ln(5)

Q: Solve the exponential equation. Express irrational solutions in exact form. (7/5) ^ x = 9 ^ (1 - x)

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Q: How do you solve exponential equations? Please explain how to solve them with like bases and unlike…

A: Solution

Q: Is there a way to do part 1 without derivates? We did not take calculus yet. This is from grade 11…

A: The equation modeling the resale value of a car is given below.

Q: Solve the exponential equation using like bases  81x+1=272x+1

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Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How…

A: This question can be solved by using the equations of motion.

Q: how would one solve basic exponential equations with variable in the exponent where bases cannot be…

A: A basic exponential term with the variable in the exponent is given by ax, where a is a constant. A…

Q: 22 = ni 1

A: Firstly write the complex numbers in the form Z=Zeiθ Calculate the modulus of Z of the two complex…

Q: log, (x – 2) = 4

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Q: solve for the unknown. ln(x4) − ln(x2) = 2

A: Use this property of log: Then combine like terms

Q: Solve the equation ln(x - 4) - ln(x + 1) = ln 6.

A: Consider the given: lnx−4−lnx+1=ln6Add ln(x+1) to both…

Q: 9. In 8 years, a girl will be three times as old as she was 4 years ago, Find her present age.

A: Topic = Algebra As per guidelines ,At a time only one question can be answered out of different…

Q: Gasoline prices are rising at a rate of 0.4​% per month. What is their doubling​ time? By what…

A: The doubling time formula is Doubling time=log(2)log(1+increase) Where increase is the constant…

Q: 8. One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: We have to solve, how long would it take to fill the pool if both pipes were accidentally left open.…

Q: Use like bases to solve the exponential equation. 38x + 3. 3x = 243 X =

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Q: 5. Solve the following exponential equation by using common bases. Show your work. Зх-6 1252-x 25

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Q: Solve exactly:  6 ln(x) = 5

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Q: Certain bacteria cells are being observed in an experiment. The population triples in 1 hour. If at…

A: Given,  After one hour the population triples. After three hours the population is 27000. let x be…

Q: Element X decays radioactively with a half life of 9 minutes. If there are 760 grams of Element X,…

A: Formula for half life is as below : N(t)=19 gramsN0=760t = ?t12=9 minutes

Q: A man deposits 43,799 each year into his savings account that pays 2% nominal interest compounded…

A: The interest rate is 2% compounded annually  Now in the first year, the principle amount was 43,799…

Q: ,400 in an account growing at a rate allowing the money to double every 6 years. How much money…

A: Introduction: The formula for the growth function is given by, A=A0ert Where A0 is the Initial…

Q: log base 3 (7-2x)=2 Solve.

A: Given information:The given expression is

Q: What amount needs to be invested today at 4% simple interest in order to have $6000 in 3 years?

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Q: 4. The number of ants in a colony triples every month. If there are about 150 ants now, how long…

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Q: Please write out the finance formula you would use to figure out how long it would take $550 to…

A: Topic : Alzebra