The largest earthquake in a certain year was in the ocean that was recorded as an 7.8 on the Richter Scale. The most devastating earthquake was in a major city that registered 5.7 on the Richter Scale. How many time more intense was the quake in the ocean?

Q: Given log x3= 0.4771 and log x7= 0.8451, find value of log x 49/3

A: We use the division property of log to expand the given expression.

Q: solve for x (use log where is necessary ) 4sqrt(x)=8

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Q: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 6300. The number…

A: Dear student you are not provide what are a ,c ,b stand for . We are calculate the value in terms of…

Q: Express the ratios in as ratios of natural logarithmsand simplify. logx a/logx2 a

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Q: The number of lemurs in a wildlife preserve can be modelled by the logarithmic function y = 300 – 37…

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Q: The value of 34 log, V3 is 68.0 O 136.0 O 17.0 O 0.0 O 34

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Q: Graph the three functions y = xa, y = ax and y = loga x together on the same screen for a = 2, 10,…

A: It is given that the three function are y = xa, y = ax and y = logax.Sketch the three function as…

Q: x*dx + y C x-) dy =0

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Q: Suppose loga 3 5 and log, 7 = 9, find: a) log, 21 b) loga 49 c) loga

A: Given  loga3=5 and loga7=9

Q: If log 2 = 0.3010 and log 3 = 0.4771, find the value of log5 512

A: To determine the value of the log5(512)

Q: For certain decisions, the time it takes to respond is a logarithmic function of the number of…

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Q: In chemistry, the pH of a solution is defined to be pH = - log H where H is the hydrogen ion…

A: Properties of log:→logmn = nlogm→log10 = 1

Q: ) approximate the value of log, 24, given that log, 2 = 0.356 and log, 3= 0.565

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Q: Complete the table of values. f(x) = log3 x f(x) 9. 1

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Q: The pKw of a solution is defined by the equation: pKw = -log Kw Where: Kw = water dissociation…

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Q: The pH scale was designed to make it convenient to express hydrogen ion concentration: that are…

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Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 7700. The number…

A: Given: Initially, stocked fish=500……1Carrying capacity of lake=7700……2In first year, number of…

Q: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log3 x

A: Given: log2xlog3x we know that logmn=lognlogm

Q: a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

A: Given, a. find x from the equation log2 x=2 b. find x from the eqaution logx 3=2

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

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

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

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Q: Calculate log3 (V27) without using a calculator. Enter your answer as a fraction.

A: The given expression is log3277. Simplify the expression as follows.

Q: the logarithm of a quotient of two numbers are 0.352182518 and 1.556302501

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Q: logpQ x logoP

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Q: allog (y ta)=log(yta) -Log1a

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Q: Find the domain and range of y=log5(3+6x) Domain is ? Range is ?

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Q: Q13: Use log function to solve the equation for t in terms of A and B: A = B e t/2

A: Solution:-  The given function is A=Be-t2      ................(eq01) taking log both of sides

Q: Find the hydrogen concentration of tomatoes If Its pH Is 4.5. (Hint: pH =- log H*])

A: find the concentration oh hydrogen by using the apply logarithm property

Q: For Exercise, use logb 2 = 0.356, logb 3 - 0.565, and logb 5 = 0.827 to approximate the value of the…

A: Given: Find the approximate value of logarithms. Property used: For logarithms,

Q: Use the change-of-base formula to find the approximate value. log4 x3 + log2 √x = 8

A: The logarithmic equation is: log4 x3 + log2 √x = 8 We have to solve this equation. We have, log4…

Q: State the domain and the range for Y = log10(x)

A: We use the definition of loga(x), to find domain and range of Y=log10(x).

Q: )Solve for y in terms of r. log, y = log, r – log, 10 + log, 6

A: Given, logby = logbx - logb10 + logb6 Solving the above equation using the properties of logarithm

Q: The population of a town increases according to the exponential relation P 1480(1.04)" , where n is…

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Q: For Exercise, use logb 2 = 0.289, logb 3 - 0.458, and logb 5 z 0.671 to approximate the value of the…

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Q: . Use log, 2 = 0.356, log, 3 = 0.565, and log,5 = 0.827 to approximate the value of the given…

A: Given, logb2 = 0.356 logb3 = 0.565 logb5 = 0.827

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

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Q: Solve the following equation: log,(2x) = log,(2) + log,(5x – 1). %3D X =

A: GIVEN: log7 (2x) = log7 (2) + log7 (5x - 1)

Q: Solve for x. (Enter your answers as a comma-separated list.) logs(x + 30) + log8(x) = 2

A: Given,         log8x+30+log8x=2

Q: 1 log,(x-1)-log,(x-4) = 2log, 232

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Q: Use the fact that: loga (x) = -3.4, loga (y) = 4.3, and loga (z) = 6.2 to evaluate the following:…

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Q: Determine the value of the logarithm: LOG2(0.521)

A: Given log

Q: Given log3(x2-1)=1+log3(x+3), find log4(x-3). -1 -1/2 1/2 3/2

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Q: Find the domain and the range: y=log3(6-4x)

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Q: If loga ( a17 y13 A log3 x + Blog3 y then %D A = %3D

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Q: Solve for x. (If necessary, enter your answers as a comma-separated list.) log9(x2 − 2) = log9 x

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Q: Write the expression as a single logarithm with a coefficient of 1. ln x − (8 ln y + ln z)

A: The given expression is ln x − (8 ln y + ln z)   log rule used:…

Q: Find the value of x given ()" = log,4" -2/3 125 %3D 64

A: We have to find the value of x