Find the value of 'y' in each of the following. Exponents can be entered using E or 10^. Show your answers in the answer box corresponding to letters A to D.

Q: Express the equation in exponential 2 form. In5 =3y

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Q: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: 2 Write Vy in exponential form.

A: We have to write following term in exponential form.

Q: Write the expression as a logarithm of a single quantity. In(8) + In(x + 5) - 4 In(1 + Vx)

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A: Radio active decay follow the following exponential decay law, N=N0e-λt⋯⋯⋯1 Where, N0 is the initial…

Q: Express the equation in exponential form. (a) In 6 = x (b) In y = 6

A: To express the equaion in exponential forma)ln6=xb)lny=6

Q: Write as the natural log of a single expression: 5 ln(x1/2) + ln(9x)

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Q: Express as a single logarithm. 3log6x + 5log,(x - 6)

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

A: Half life = 1590 years Inititial amount of sample (a0) = 300 mg Final amount of sample (af) = ?

Q: Expand the logarithmic expression. 2x4 In y7

A: According to the natural logarithm quotient rule, . According to the natural logarithm product rule,…

Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

Q: The radioactive element carbon-14 has a half-life of 5750 years, A scientist determined that the…

A: Given:- The radioactive element carbon-14 has a half-life of 5750 years. To find:-   A scientist…

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: The half-life of strontium-90, 90Sr, is 25 years. This means that half of any given quantity of 90Sr…

A: Given: Half life of strontium-90 is 25 years.   Also, From the given information, strontium-90…

Q: Expand log(sqrt x^5*y^-10)

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Q: Evaluate (2 – j)- in exponential form

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Q: Write as the log of a single quantity: {[3logx + logy - log5]

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Q: Express in terms of sums and differences of logarithms. 8 In 3xy 8 In 3 3x°y

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: 1.) HOW MUch will 5000 be worth in as years If It earns interent compounded continuou at 890?

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Q: Write as the natural log of a single expression: 2 ln 5 + 3 ln 4

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Q: In(20) = x + 2

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Q: Use the definition of Exponential Notation to prove the Exponent Law that says: (x2)3 = x6

A: Please see the explanation below

Q: Use the properties of logarithms to rewrite In /6x + 3 without the square root sign or any…

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Q: Find the exponential equation whose graph passes through the points (-1,5) and (2,32) y =

A: Explanation: Given that: Two points are -1,12 and 2,32 Concept: The standard equation of an…

Q: log, (5x + 8) = log,(9x) 5z +8 =

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A: we formulate the question with the help of formula  N =Noe-λt where No = initial mass N = remaining…

Q: Find the exponential equation whose graph passes through the points (-1,2) and (1 y%3D

A: We will find the exponential function.

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Given: The half-life of carbon-14 is 5600 years. If a piece of charcoal is made from the wood of a…

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A: Usie the half-life formula: A=A02-th...(1) where,  A=resulting amount after t yearsA0=initial…

Q: Find the exponential equation whose graph passes through the points (-3, 5) and (1,15) 27 y =

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A: given half life is 5750 years  using formula N = Noe-λt where N = mass remaining after time t No =…

Q: If log[4-5log,2 (X+3)]=0, find x 132

A: Given:          log4-5log32x+3=0 Let:          log4-5log32x+3=0   ........1 Simplify:…

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: log, (9x +30x + 25) = 8 %3D

A: Given,          log29x2+30x+25=8

Q: If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram…

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Q: Find the exponential equation whose graph passes through the points (-1,) and (1,10) y =

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: If log, (4x + 3) = 4, then x = %3D You may enter the exact value or round to 4 decimal places.

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Q: Express the equation in exponential form. (a) In 3 = x (b) In y = 3

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: Use the properties of logarithms to expand the expression y8 In x13 z16 in a form with no logarithm…

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Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

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Q: Write the expression 4lnx-In(y+3) as a single logarithm. 2 Select one: Vy+3 In - In /y+3 4x Зу+6

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Q: 2. Find the root Op 3x-logio

A: Given,         3x-log10x-8=0

Q: Express as a sum, difference, or multiple of logarithms. In 7x/

A: To write the below logarithmic expression as a sum, difference, or multiple of logarithms. ln7x3

Q: Express the equation in exponential form. (a) In(x + 2) = 6 (b) In(x - 7) = 4 %3D

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Q: If log, (7x + 4) = 2, then x = You may enter the exact value or round to 4 decimal places.

A: Simplification

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A: Explanation: We know that, N=N0e-λtWhere,N=Mass of radioactive after time tN0=Initial mass Firstly,…

Q: Express as a sum, difference, or multiple of logarithms.

A: The answer is given in the below photo.