Solve: a. log,(x + 3) = 2 b. 3 In(2x) = 12. %3D

Q: Solve. The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be…

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Q: Solve for æ: log,( – x + 12) = 2 Write log,( – x + 12) = 2 in expone

A: Given that: log4(-x+12)=2

Q: Kyle investes in an account earning 8% interest compound continuously. How long will it take to…

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Q: Solve the equation log3 x = 2

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Q: Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%. How…

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Q: solve the equation log 27 x=27

A: Given:-  Log base 27 x = 27

Q: Solve the equation accurate to three decimal places.

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 500mg, how many mg will remain after…

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Q: A bacteria culture starts with 3000 bacteria and grows to 50,000 in 3 hours. a) What is the doubling…

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Q: Solve the exponential equation for the unknown x. 10X = 30 %3D

A: Given Data: Equation: 10x=30   The logarithmic power rule is, lnxb=blnx ......1

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

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Q: Solve the exponential equation ()“ 10 and round final answer to four decimal places.

A: (1/2)x = 10 x = ?

Q: log, +4(9x + 16) = 2

A: Given : logx+4(9x+16)=2 First we write log equation as an exponential equation . logbx=aba=x

Q: Solve the equation without using a calculator.

A: To determine the solution of the equation.

Q: Solve for x. log, (-5x+8)= 1

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Q: Is -10 the solution of log5(x+35)=2? Why or why not?

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Q: Solve for x in the following exponential equation by matching the bases. 22x = 128

A: We have to find the value of x.

Q: Express as a product. - 9 log M

A: We know that                             loga xm = m × loga x

Q: Solve the equation without using a calculator.

A: Logab=c is defined as ac=b Logarithmic functions only take positive values that is their domain is…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: We know the half life formula:Nt=N012tt1/2Where Nt=Amount after t years.          N0=Initial Amount.…

Q: Solve for x, rounding to three places, if necessary: A. log, 27 = B. log, 2.9 = 3 C. e2x = 5

A: here we need to solve the logrithmic functions. the solution is following.

Q: Lea invests $8,333 in a savings account with a fixed annual interest rate of 8%. What will the…

A: According to questionInitial balance (p) = $8,333Interest rate (r) = 8%Time (t) = 12 yearIt is given…

Q: Solve the following equations. log,(x-1)+log,(x-3)= log.(2x-5)

A: We have to find the solution of logarithmic equation.  The solution is following

Q: For Exercise, solve for the indicated variable. L = 10 log| |for I (used in medicine)

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Q: Say you have placed 10,000 pesos in your bank account that pays 4% interest, compounded…

A: The continuous compounding formula is, A = Pert  where, P is the initial amount A is the final…

Q: Solve for x: log5 ? = log5 8 −log5(6 − ?)

A: Given, log5x=log58-log56-x now solve given equation: from logrithmic property we can say…

Q: Solve the equation log5 x = 3

A: Given Equation - log5x = 3  x = 53    ...............(1)…

Q: Juliana invested $5,000 at 5.25% p.a. simple interest. How many days will it take for her investment…

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Q: Solve: log, (s) = 6 .

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Q: Write the equation in exponential form. In(t) = n

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Q: Solve using the change of base formula: log, 70

A: Given, log470  We have to solve it by using the change of base formula.

Q: Solve for x log, (2x + 10) = 4

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Q: Solve for x log, (9x +30x + 25) 8

A: Given  log29x2+30x+25=8 First convert this expression to exponential form The question is of the…

Q: Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. log 8x3=4

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Q: Solve: log,(x-4) -1 = 1

A: We need to solve log3(x-4)-1=1

Q: Dennis deposits $10,000 in a savings account that earns 2.88% annual interest, compounded…

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Q: Find a formula for the exponential function passing through the points (-1,5) and (3,54) y =

A: use the general form of exponential function . and use this point to get the coefficient of…

Q: Solve the equation without using a calculator .

A: We have to solve the equation: logx2=logx2 We know properties of logarithm, logam=m logalogab=c⇒b=ac…

Q: Solve by using logarithm X+3 2-X 2. 13D

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Q: Solve the equation without using a calculator .

A: Solve the equation without using a calculator .         log x=log x

Q: Solve for x in the following exponential equation by matching the bases. -4x 1 -64-5) = 0 8

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Q: Q3 Solve for x log, (x+4)- log, (x-2) log, (4x) a. b. 5-2 33r+2 By using Natural Logarithm (In).

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Q: For Exercise, solve for the indicated variable. log B− 1.7 = 2.3M for B

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Q: Solve log, (3x – 7) = 3. - The solution is x =

A: Use the properties of lograthim and solve for x.

Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation, as in

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Q: Find a formula for the exponential function passing through the points (-1, and (2, 80). y =

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Q: =477 Solve for x in terms of the natural log 3e2

A: We have to solve the given expression in terms of natural log. Given Expression is, 3e2x = 477

Q: Find a formula for the exponential function passing through the points (-3,5858) and (3,40). Solve…

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Q: Solve for x : log, x = 4

A: Here we use basic logarithmic properties to solve the given equation

Q: Given loga(m) = 10 and loga(n) = 20, find loga(mn2)

A: Calculation:Compute the value of loga(mn2) as follows.loga(mn2) = loga(m) + loga(n2)