ple Choice & Numerical Response Use the following information to answer the next two questions A student was asked to algebraically solve the logarithmic equation logo (z-5)-logo (z-6)= logo (7). Numeric Response 16. While solving the equation loge (z-5)-loge (z-6)= loge (7) the student correctly arrived at the step z-a-b(z-c) where the values of a, b and c, as natural numbers, in that order are 0000 Your answer. Numeric Response 17. The solution to loge (z-5)-loge (z-6)= loge (7), rounded to the nearest tenth is (Record your answer in the numerical-response section below.) Your answer. 0000

Q: Assume that x, y, and b are positive numbers and b not equals to 1. Use the properties of logarithms…

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Q: 1 The expression log ), where a>0, is equal to a

A: Solution:-

Q: the solution of the equation log2 (a² – 4) = log»3x O a. x=2 O b. x=4 O c x=6 O d. x=-2 O e. x=3

A: Given that:          log2(x2-4)=log23x

Q: Solve the following logarithmic equation. log (7x + 9) = 1+ log (x - 2) Select the correct choice…

A: equation is:  log(7x+9)=1+log(x-2) First we will determine the defined range for the given equation…

Q: Solve for the exact value of x. log2 (3æ) + 4 log2(4) = 2

A: Topic-logerthimic

Q: The Richter scale is used to rate the severity of earthquakes. An earthquake is measured in…

A: Given

Q: Solve the equation clearly showing all work. log, 4 – log, 3x = 1 Leave your answer in terms of a…

A: Recall: logam-logan =logamn logbx=y is equivalent to by =x.

Q: [12] Write as a single logarithm and simplify, if possible 3lnx+ 2 In y - (In5x + In 3y) Work:

A: Logarithmic function have following properties, lnx+lny=lnxyalnx=lnxalnx-lny=lnxy

Q: Numeric Response 10. If loga = 49 and logb = 9, the value of 2log(ab), where a, b > 0, to the…

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Q: -2+log,(c²-1)= log,(c+1)

A: We have to find out the value c

Q: 3. Solve each of the following log equations (give exact answers, not decimals). 4log, (3x+5) =12

A: This question is related to logrithm equation.

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: los (7x+8)=1ogex)

A:

Q: A sports car priced at $60 000 depreciates at a rate of 14% per year. The value after n years is…

A: given A=60000(0.86)n   where A is the amount after depreciation    n is time in years

Q: Solve the equation. 8+ log(8x) = 29- 2 log(x) X x = 16.3863 Need Help? Pardl

A: Logarithmic formulas

Q: Let T: R1 → Rª be the linar transformation represented by T(x) = Ax, where 1 -2 1 0 A = 1 2 3 0 1…

A: Clearly T : R4 -> R4, then A should be 4×4 matrix. Here it will be T : R4 -> R3.  As per our…

Q: l0영 (27-2) - 1og 2. 2

A: given equation log(2π-2)=0 we need to find the value of π

Q: Solve 6 - log, (3x - 2) = 4 for X %3D

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Q: Question1 a. Express the following as a single logarithm log 2+ log 3 3**1 x 3 32 x9*1 b. Simplify…

A: Given the logarithm and other equation in question 1 and in question 2 a ststog equation is given we…

Q: Solve log, (+4)+ log, (z+1) = 2. Round your answer to the nearest hundredth. Check for extraneous s…

A: Law of logarithm:log A +log B =log(AB)Hence,log5(x+4) +log5(x+1)=2log5x+4(x+1)=2(x+4)(x+1)=52

Q: I need help make sure your steps make sense and understand your handwriting. Please and thank you .…

A: 4. Given equation, log6x+log6x-5=log636

Q: Solve for x in the equation log; (x+8) =2-log; (x) A x=-9 в х-0 C x=1 D x=6 O a O b O c ABCD

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Q: b If K = 7.9 x 10-8 then pK, = %3D

A:

Q: Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

A: Given: log2x-2=logx+1+log4 Now by using the logarithmic property, loga+logb=loga·b…