8. If (* = 256 and log (x - y) = 3, calculate the exact values of and y algebraically. Show work for full marks. [4]

Q: 4. Write loga x + loga 2y-loga 4z as a single logarithm. Assume that all variables represent…

A: We see,     (1/3)logax = loga x1/3     (1/2)loga2y = loga (2y)1/2 = loga {21/2y1/2}    (1/6)loga4z =…

Q: The graphs of f(x) = 9* and g(x) = log9(x) are symmetrical with respect to the %3D %3D Select one: O…

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Q: 10. fill in the missing valuesto make thė true equations . joa. Toga 7- 1o9g8= 109 a [ - 10g

A:

Q: Explain why the function y=log, (x-4) doesn't have a y-intercept.

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: Q4. Write in simpler (1) log() 3/4 form 3 (2) log (1)³

A: Here we have to simply it.

Q: 4. Find the domain of the log function. y = In((7 – x)(x + 10)) Use a sign chart.

A:

Q: the following equation. Write your answer as a fraction reduced to lowest log_(16)(x)=(3)/(4)

A: Please see the below picture for detailed solution.

Q: 9. Simplify. State any restrictions on variables. log (x²-x-6) - log (2x-6) [K-3]

A:

Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

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Q: . Solve the following equations. (Se 10. 3 =15 11.log (x+2) = log (3x - 5) 12.log3 (2x+ 5) = 2 13.…

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Q: 1. Find the function of the form y = log,(x) whose graph is given. y = y 1.5 (5, 1) 1.0 0.5 5 6 -0,5…

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Q: Evaluate log(1-j) (4 +j5) O a. 3.1915 - j2.4061 O b.0.817 + j2.4002 O c. 3.1915 + j2.4061 O d.-0.817…

A: Using the properties of logarithmic function, it can be written that logab=ln aln b and log (ab)=log…

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

Q: If log, æ = 0.63, log, y = 1.46, and log, z = 1.77, loga

A: As we know that, The logarithmic properties: 1). logaxb=b·logax 2). logaxy=logax+logay 2).…

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: Q3. Find y, b, or z as indicated (1) Find y: y = logg 27 (2) Find : log, z = -1 (3) Find b: log,…

A: To find y, b, or x as indicated.1 To find y: y=log9272 To find x: log3x=-13 To find b: logb1000=3

Q: b- find x for following 1. logx = v2

A:

Q: 4. Determine if each of the following functions is exponential or not. If so, write the function in…

A: (a)not exponential

Q: 4. log5 (x - 10) = 2 - log, .

A: We need to solve the given equation for x: log5x-10=2-log5x This can be evaluated as follows:

Q: Note that your response should be written in sentences, and logically justified to gain full marks.…

A: