17. Given y = -log3 (81(x - 2)²) a) Rewrite using the laws of logarithms.

Q: 1. Simplify the following expressions without the aid of a calculator. a) log, (81) b) log2 (2525) -…

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Q: Use properties of logarithms to expand the logarithmic expressions (No decimal answers). log,(z/xy)

A: To use properties of logarithmic functions to expand the given logarithmic expressions.

Q: 1 6. Change from logarithmic form to exponential form y = ab*. y 108. (-x log, = 2 y = 2.7* y-(2) =…

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Q: Differentiate. y = log 5 (1 + 2x)

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Q: 9. Clearly explain, using correct mathematical terminology, the difference(s) between the graph of y…

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Q: Compute log3 without using a calculator, where log3(X) = 81 - 1.5

A: Using logarithmic Properties.

Q: Write In(x)+3In(z) as a single logarithm

A: See solution below. We used some basic property of logarithmic

Q: (5) =7. Find the following: loga g) loga (1,000, 000, 000)

A: Given: loga2=3 and loga5=7 To find loga1,000,000,000

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: Determine an expression for "x' if log x= log a - 2log b + 1/4log c.

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Q: log 10 = 1 110 = 1 10' = 10 1010 = 1 110 = 10

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Q: - If 2ª = 5 and 2b = 3 what is the value of log₂ (75) in terms of a and b?

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Q: let f(x) = logb(9x^7-8). For what value of b is f′(1) = 9?

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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: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

A: We are required to write the given expression  log(x+2)-3logx-5log(x2+1) in terms of a single…

Q: lator: log, (81 9 est tenth: 12* = 38

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Q: logaz=5. find loga (1/z).

A: Given: loga(z)=5

Q: Iflog, (2)=0.4752, log, (3)=0.7532, and log, (11)=1.6440, what is the value of the following…

A: If , then to find the value of .

Q: find log(z) where z=-1-3i.

A: Given:      z=−1−3i