Use the Laws of Logarithms to combine the expression into a single logarithm. (a) log(a) + 3 log(b) (b) In(x2 - 64) - In(x + 8) (c) log2(5) - 5 log2(x) + – log2(x + 1)

Q: Rewrite the expression In(a + b) + 3 ln(a - b) - 3 ln c as a single logarithm In A. Then the…

A: The given expression is . The objective is to rewrite the expression into a single logarithm.

Q: Condense the expression to the logarithm of a single quantity. 14 In(x In(x + 7) + In(x) - In(x4 -…

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Q: Simplify log(x) + log(3x) A log(x²) log(2x²) log(3x²) log(4x²) log(6x²) log(8x²) log(9x²) log(10x²)…

A: Let's simplify log,

Q: (a) log₂ 11 + log, 4 = log₂ 7 (b) log₂-log,₂3 = log₂ 1 (c) log -2log₂ 25

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Q: Rewrite logg (13) as an expression that only has terms involving log10-

A: Concept: Change of base rule of logarithm logb(a)=  logx(b)logx(a)

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 (51) (a) common…

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Q: 2log(base 2)(x-8)-log(base 2)x=2

A: Given,

Q: Simplify fully. (a) eln 4z (b) log 10* (c) 5log, 8z (d) log, 167y

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Q: Simplify log(60)+log(15)−log(2)−log(2) as a single logarithm

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Q: Use the Laws of Logarithms to expand the expression. (a) log log() (b) In (c) log x + 2 x³(x² + 4) (

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Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: Write the expression as a logarithm of a single quantity. [In(x2 – 1) – In(x + 1) + In(x – 1)]

A: The solution of the second problem is given in the next step.