A law of physics states that the intensity of sound is inversely proportional to the square of the distance d from the source: I = k/d. (a) If B, is the decibel level at a distance di, use this model and the equation B = 10 log (described in this section) to find the equation for the decibel level B2 at a distance dz relative to B, and di B2 = (b) The intensity level at a rock concert is 125 dB at a distance 1.9 m from the speakers. Find the intensity level at a distance of 10 m. (Round your answer to the nearest whole number.) B2 = dB

Q: The decibel level for the intensity of a sound is a logarithmic scale defined by D = l O log 10 / +…

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Q: The loudness, L, in decibels(dB), is given by the formulaL= 10 · log where I, = 10- 12 W/m?. The…

A: Given, The loudness L in decibels is given by the formula, L=10·logII0 where, I0=10-12 W/m2 and,…

Q: Express the equation in logarithmic form: (a) e" = 3 is equivalent to In A = B. Then %3D and

A: (a) Given expression. ex=3

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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 the logarithmic equation for x. LOG(4x + 1) = 2

A: Taking exponential on both side

Q: Solve the following log equation exactly loga(x)=loga(x2-30)

A: This question is based on properties of Logarithm.

Q: .If log, [log3 (log2a)] = 1, then x is equal to = ?

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Q: Express the following equation in logarithmic form. 10 2= = 0.01 %3D - 2 The exponential equation 10…

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Q: Can a negative number belong to the solution set of a logarithmic equation?

A: Given statement : Can a negative number belong to the solution set of a logarithmic equation?…

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

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Q: Find the solution of the exponential equation 10-i = 5 in terms of logarithms, or correct to four…

A: Given exponential equation is10-x2 =5find the solution of the equation interms of logarithms

Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: 10) Solve the logarithmic equation In(x+1) – In(x – 4) = 1. -

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Q: Express the equation in logarithmic form.

A: For the exponential equation q=pz , its logarithmic equation is written as logpq=z . On comparing…

Q: Express the equation in logarithmic form. (a) e+-0.4 (b) 0.3x-t

A: To express the given equation in logarithmic form: a) ex+3 = 0.4 b) e0.3x=t

Q: A law of physics states that the intensity of sound is inversely proportional to the square of the…

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Q: Solve the equation log(x + 2) + log(x - 1) = 1 algebracially and graphically.

A: To solve the equation: logx+2+logx-1=1 Solution: We know that, logm+logn=logmn Solving the equation.…

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

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Q: in X

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Q: Solve the logarithmic equation for the unknown x. 2 log4 x = 1

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Q: Solve the logarithmic equation for x. log(3x + 5) = 2

A: To Determine:

Q: Find the solution of the exponential equation 2t 100(1.04) = 5, 000 in terms of logarithms, or…

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Q: The solution of the logarithmic equation log 2 + log (x + 5) = log 36 is

A: We have to find the solution

Q: Express the solution in terms of logarithmics

A: Here given Taking ln both side we get

Q: In other words, if y = bª, express x in terms of y.

A: given y=bxwe need to express  x in terms of y we use the following property  lnab  =   b lnalogab…

Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (-2,3)…

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

A: Given:

Q: Convert the exponential equation 6ª 8 into the corresponding logarithmic equation.

A: Topic- Equation

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: log, x+ 2) <0

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Q: In particular, the law says that the time, T, it takes to make a choice can be modeled by the…

A: Given T = b.log2(n+1)where n = number of options from which to choose,b = constant number T = time

Q: Write the expression as a logarithm of a single quantity.…

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Q: Express the equation in logarithmic form. (a) ex+2 = 0.3 (b) e0.2x = t

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Q: Find the solutions of the equation, rounded to two decimal places. 3 log x = 6 - 2x

A: Logarithmic functions and exponential functions are considered to be the inverses of each other as…

Q: Determine the equation of the inverse of y = 2x-1 Oy = 3. log,x+1 O y = 2- log,x+1 log,x +1 y = - 3…

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Q: Prove the third law of logarithms. [Hint: Start by showingthat both sides of the equation have the…

A: To prove this, we show that the derivative of both sides of the equation is same.

Q: If loga 2 = 0.41loga 3 = 0.64loga 5 = 0.94 loga(9a8) = ?

A: Compute the value of loga(9a8) as follows.

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)“ , wherez…

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

A: Given :   Formula :-      D=10 log(1012 I)             ...(1)   Also        I=6.3 x 106…

Q: The logarithmic equationb log, 3 = c, where a > 1, expressed in exponential form could be

A: Consider the logarithmic equation  bloga3=c              , a&gt;1

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2)

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Q: solution

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Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (-3,2) -2…

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Q: Solve the logarithmic equation for t. ln(at + b) = c if a ≠ 0

A: To solve the given logarithmic equation.

Q: log, x + log2(x + 3) = 2.

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Q: 1. Solve the equations 2 - x a) 2 – x = |2x + 1| b) 2 = c) log! -2 %3D |x+1|

A: Modulus function is a function which always gives a positive value whatever the input given to the…

Q: solve, g(x)=-3(1/5)x + 2 where g(x)= 0(using log may be) leave it in exact form not decimal.

A: Given that g(x)=0 So we will plug g(x)=0 and solve for x