The logarithmic function y = logx + 7.9 can be used to determine the magnitude, y, of an earthquake given an intensity comparison, x, of a previous earthquake—in this case, an earthquake with a rating of 7.9 on the Richter Scale. This function is graphed below. What is the magnitude of an earthquake, y, that is six times as intense as the previous earthquake (rounded to the nearest tenth)? What intensity, x, is the aftershock with a magnitude of y = 8.2 (rounded to the nearest whole number) compared with the original 7.9 earthquake? Magnitude of earthquake: y = 9.0, intensity comparison: x = 4 times   Magnitude of earthquake: y = 8.7, intensity comparison: x = 2 times   Magnitude of earthquake: y = 29.0, intensity comparison: x = 1 time   Magnitude of earthquake: y = 8.7, intensity comparison: x = 3 times

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: 4. Convert the following to an exponential equation: log15(2x) = = 11

A:

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

A: Simply substitute the given value in the formula and simplify.

Q: y:b and y logb x (0< 6<1)

A: Questioin is solved.

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

A: Question 19 - Equation to calculate loudness of sound in decibels-D = 10logII0…

Q: given a logarithmic function f(x)=lnx, find the equation for the new function obtained by reflecting…

A: This question can be solved using the concept of transformation of curves.

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

A:

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

A:

Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

Q: Draw the graph of the following logarithmic function, and analyze it completely: f(x) = − log(x − 3)

A: Consider the given function.

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: f(x) = log x (0<xs 10)

A: Logx graph is shown below

Q: 1 What is the value of loge 36 ?

A: we can write by property of                           log6(1/36)= -log6(36)

Q: Evaluate the expression using a calculator. Round to the nearest thousandth. log(V3)

A:

Q: Find the domain of the logarithmic function : f(x) = log (x - 2)/(x + 5)

A: given: f(x)=logx-2x+5 we have to find the domain of the function. as we know that the domain of the…

Q: 7 In Ve

A:

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

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

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

A:

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

A: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Given that log10^2 = 0.3010 and log10^3 = 0.4771, please find the following logarithm without using…

A: Recall the following facts.

Q: Use the graph of f(x)=4^x to estimate the value of log 4 (27)

A: Introduction: Logarithms are another way of expressing exponents in mathematics. A number's…

Q: Approximate x to three significant figures.

A: we have  log x=4.9680 We have to approximate x to three significant figures,

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A: Given:- g(x)=logb(x)  Evaluate g(x) at x=√b

Q: Is the function logarithmic or exponential? Is it horizontal or vertical? What’s the asymptote? Is…

A:

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: We can solve this as follows:

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value f(x) =…

A:

Q: what will be the value of x for the given logarithmic equation 10ln(x2-10)+2=8?

A:

Q: Find the domain of the logarithmic function f(x) = log5(x + 4).

A: Given:log5x+4

Q: Find the domain of the logarithmic function f(x) = log8(x + 5).

A: To find domain of the logarithmic function fx=log8x+5

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

A: Given logx=-1.01

Q: Which of the following graphs represents the function below? (log (x + 3), x4

A:

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

A:

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

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Approximate the value of the logarithm to four decimal places.   log(6.8 ∙10-19)

A:

Q: Here is the graph of a logarithmic function. yf 4 2 1 1000 2000 3000 4000

A: We can obtain this information from the graph itself. We explain how to obtain the information in…

Q: Find the domain of the logarithmic function : f(x) = log5(x + 4)

A: Given expression, fx=log5x+4 The domain of fx=log5x+4 is given by gx&gt;0 Then, the domain of f…

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

A:

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

A:

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

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: ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ Condense the expression to the logarithm of a single quantity. - log,(z - 6)

A: Solved below

Q: Convert to a logarithmic equation: z =²

A:

Q: Approximate x to three significant figures.

A: Consider the given value. logx=-2.2118 Now, find the value of x.…

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

A:

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

A:

Q: Approximate x to three significant figures.

A: The natural base of the logarithmic function is 10. The given equation is solved using the concept:…

Q: Approximate x to three significant figures.

A: Given : log x=0.9469   Convert the given log into exponential  equation  log…

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A: