10. [prob36(a)] Sound level L, in units of decibels (dB) is determined by: Lp = 20 log10 () where p is the sound pressure of the sound, and Po = 20 x 10-6 Pa is a reference sound pressure (the sound pressure when Lp = 0 dB). Now the sound pressure of a passing car is 80 × 10-2 Pa. Determine its sound level in decibels

Q: Solve for x using sci notation x=log(y^5) ; if (log y) = 1.2 x 10^-4

A: We have to find value of x by using scientific notation.

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

Q: a- Simply the following 1 1. Inx – In(x2 – 1) + 2ln(x + 3) - 2. 5log2 + log3 – log8 b- find x for…

A:

Q: 14. For the logarithmic function (x)=log, (x-4), explain why x=0 is not in its domain.

A:

Q: Given that ln(5) = x and ln(7) = y, express the given logarithmic value in terms of x and y.…

A: Given that ln(5) = x and ln(7) = y. Use the property of the ln function

Q: Solve for x: log(x + 2) – log( + 1) = 1 You may enter the exact value or round to 4 decimal places.

A: Given

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

A:

Q: Solve for r: log(z) + log(x + 2) = 9 You may enter the exact value or round to 4 decimal places.

A:

Q: solve: loga (4x+4)= log₂ (-7x+19) = X= AS lenter DNE if no rolution)

A: topic - logarithmic equations

Q: The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) =…

A: The amount of carbon 14 remaining in a sample that originally contained A grams is given bt…

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

Q: Solve for x: log(x + 5) – log(x + 4) = 2 You may enter the exact value or round to 4 decimal places.

A: Given that  log(x + 5) - log( x + 4) = 2  We need to solve this equation for x.   As we know that…

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

A:

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Gven Data The function of the percentage of adult height attained by a girl is f(x)=62+35 log (x-4).…

Q: A manufacturing company finds that the number of products they can manufacture, X, is related to the…

A: First, we have to calculate the profit from the profit function P, then we can calculate the profit…

Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

A:

Q: 17. log (x² + 3) - log(x + 6)

A:

Q: y = loga 4x 6.

A: Differentiate with respect to x.

Q: Solve for x: log(x + 2) – log(x + 1) = 1 x = You may enter the exact value or round to 4 decimal…

A: log(a)-log(b)=log(a/b) If log m=n m=10n

Q: 1 (log, x)' 3x ise b =?

A:

Q: 3 log25 x = 2

A: It is logarithms problem.

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: 10. y = log2(3x + 1) %3D

A: We have to solve

Q: y = (1 – x³)(log2x)(cot²x)

A:

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y – 3 loga x 6.…

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

Q: (b) 5" (2 – cot 5")(1 – csc 5“) dx SC 11 – 2 log x (c) / dx JIV6 log r – logʻ 1 x/6 log x -

A: You have asked Only part b and c

Q: 2. If the rate of transmission of an additional case of covid-19 is 0.3 per day starting February…

A:

Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: 4. Show that id 5D accuracy is required to calculate the value of log(1+x) at x=0.1,0.5 by using the…

A: Given equation is log1+x=x-12x2+13x3+.....+-1n+1nxn+Rn+! So, Rn+1=-1n+2n+1xn+1 So, maximum relative…

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

Q: Based on the data for the year of 1910 to 2007, the expected lifespan of people and country a can be…

A:

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

A: Formula  log(mn) = log m + log n If log is written directly , we assume that it has base of 10.

Q: 19) 3 log x + - log y - log z

A:

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

Q: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: II. Determine the derivative of the ff. logarithmic functions 1. y = 25 In 5x 2. y = -10 In 3x4 3. у…

A:

Q: Write the expression as one logarithm . SNIPP

A: To rewrite expression as single logarithm. Using the properties of logarithm,

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

A:

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: 4) Find x: logx = 0 !x:1

A: Log a with base c=b......(logarithm form) a=c^b.....(exponential form)

Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

A:

Q: (b) Show that 1 1+ 2 tanh- (2) = ; log

A:

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A:

Q: 4 If log3 (x + 1) – log3x = 2, then x equals: F - - 8. 6. G H 8. | 15

A:

Q: 1+logx 2. =D1. %3D 1. 196 16. Solve for x, 5-log:

A: We have to solve for x .

Q: 4. Show that sinh-1 x = log(x + vx² + 1).

A: We have to prove the result.