The gross tonnage G is a standardized measure of a ship's capacity. It is calculated in terms of the volume V, in cubic meters, of the ship. There are no units associated with gross tonnage. It is calculated using the formula G = V(0.2 + 0.02 log V). In this exercise round your answers to the nearest whole number. (a) Find the gross tonnage of a ship with a volume of 14,000 cubic meters.  _______ (b) Use the crossing-graphs method to find the volume of a ship with a gross tonnage of 6000

Q: Given loga(m) = 10 and loga(n) = 20, find loga(mn2). (Enter an exact number.)

A:

Q: Solve for t using natural logarithms. 11· 3' = 9· 2' Round your answer to three decimal places.

A: Given ,       11-3t=9.2t

Q: The perception of the loudness B (in decibels, dB) of a sound with physical intensity I (in W/m²) is…

A: we use  Logamn = nLogam  Logaa = 1

Q: Solve for t using a logarithm with base a. 3a2 = 5 %3D t D |

A:

Q: On the decibel scale, the loudness of a sound, D, in decibels, is given by D = 10 log, where I is…

A: Given: I=1012I0

Q: Find the exact value of the logarithmic expression. In e O A. 1 O B. e O c. 0 D. - 1

A: ln is logarithm with base e.

Q: Solve the equation accurate to three decimal places.

A: Exponential functions and logarithmic functions are considered to be the inverses of each other as…

Q: 1. What is the value of x in log. 27 - - 3? A. В. з C.9 D. 81

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The base of log x is base e true or false?

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Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 8 In(c)

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Q: The value of x in the logarithm equation In e2z+1 = 10 is O 18.25 O 2.05 O 25.05 O 4.50 O 10.75

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Q: Express the given quantity as a single logarithm.  ln 5 + 5 ln 3

A: Given

Q: Solve by using logarithms ; 6^x = 9/9^x Solve for X. Round to the nearest ten thousandth

A:

Q: The perception of the loudness B (in decibels, dB) of a sound with physical intensity (in W/m2) is…

A: Solution

Q: log2 3 +1 4) log2

A: Given that

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

Q: The light intensity I (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log…

A: We will find the solutions of part a. and b. by the given formula.

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

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Q: Use the Change-of-Base Formula and a calculator to evaluate log4 19. Round your answer to three…

A: To evaluate log419 using Change of base formula. Solution: Change of base formula is:…

Q: use logarithms to solve the equation for t  1/5 e^-4t =0.9

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Q: Solve for f using natural logarithms. 6P = Pe041 Round your answer to three decimal places.

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Q: Solve the equation accurate to three decimal places. log2(x − 1) = 5

A: According to the question, we have to find the accurate value to three decimal places of log2x-1=5.…

Q: To describe cuantitatively the acidity or acalinity of certain substances, it is used the formula:…

A: For vinegar plug [H+] = 6.3x10^-3Then using calculator we find the value.Answer: Ph of vinegar =…

Q: What is the increase in decibels when an artist doubles the intensity of a particular sound in a…

A: Given : L(I) = 10[ log(I/I_0)] When intensity increases to double I' = 2I

Q: Convert to a logarithmic equation. 1. 103 = 1000 3. 5-3 = 5. 81/3 = 2 125 4. e-l = 0.3679 2. e =…

A: As per the instruction, we will answer only the first question. For (A), Converting to logarithmic…

Q: For Exercise, solve for the indicated variable. log E − 12.2 = 1.44M forE

A: Given expression is

Q: The value of log; v8 is 2

A:

Q: The magnitude of an earthquake is measured on the Richter scale using the formula I R(1) = log -…

A: This is logrithmic with base 10.  Put R(I) = 5.8 and take anti logrithmic.

Q: express as difference of logarithms log r/s

A:

Q: Find the exact solution, using common logarithms, and a two-decimal-place approximation of each…

A: we have to find the exact solution. 5x+1255x=30

Q: The imaginary part of Log j is _____. Round your answers to the nearest ten thousandths place.

A: To find: Imaginary part of Logj.

Q: The field metabolic rate (FMR), that is the total energy expenditure per day in excess of growth,…

A: Given the total energy expenditure per day in excess of growth for a pronghorn fawn is F(x) = 0.751…

Q: Use a calculator to find x to four decimal places: log x = −1.01.

A: Given logx=-1.01

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

A:

Q: The magnitude of an earthquake, measured on the Richter scale, is log 107, where / is the amplitude…

A:

Q: Convert to a logarithmic equation. e -3 = t

A: Given : e-3 = t

Q: On the decibel scale, the loudness of a sound, D, in decibels, is given by D= 10 log (1/1,), where…

A: D=10(logI-logI0)=10logII0 Where I= intensity of the sound in watts per square meters I0=intensity of…

Q: Express the quantity as a single logarithm.

A:

Q: The loudness level of a sound, D, in decibels, is given by the formulaD = 10 log(1012I), where I is…

A: Given: The loudness level of a sound, D, in decibels, is given by the formula D = 10 log(1012 I)…

Q: Solve the following equation using the natural logarithm. Round answer to the nearest thousandth.…

A: Given that       2ln(3)+ln(x+6) = ln(90)

Q: 2. Solve for t by using natural logarithms. Without simplifying, leave your final answer as a…

A:

Q: Convert to a logarithmic equation: z =²

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Q: Solve the equation log6(x + 1) = 2 accurate to three decimal places.

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Q: Use the following information for determining sound intensity. The number of decibels ? of a sound…

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Q: Evaluate the Logarithm using the change of base formula. Round your answer to the nearest tenth.…

A: Using Change of base logarithm formula, we calculate the given problem.

Q: Log, x= 34 x=3/4 16

A: The given logarithm is: log16x=34 To find the value of x.

Q: For what values of x is the equation  logb x8 = 8 logb x  true?

A:

Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 4 1.3863 and…

A:

Q: Express the ratios in as ratios of natural logarithmsand simplify. loga b/logb a

A: Given: The expression logablogba To simplify: The given logarithmic expression after converting it…

Q: The pH of a solution is given by the formula pH = - log H* , where H* is the concentration of…

A: TO CALCULATE 'pH' OF THE SOLUTION pH = -log[H+] [H+] = 3.05 * 10-9 moles/ litre