24) Use the Laws of Logarithms to combine the following expressions. a) log,(x – 2) + 2log2(x) –log2(x² + y) b) [In(x- 4) + 2ln (x – 8)] 2

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: If log(x + 8) + log(x – 8) = 1 then The value of æ is

A: This is a basic log question that can be solved with logarithmic property. The product rule of…

Q: Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4) c)…

A: We  have to calculate this equation by means of logarithm.Note: According to the guidelines we are…

Q: The expression log10 √²+1∙log10 1000 is equivalent to: Ο Α. 1000(x² + 1) log10 3 B. log10 (²+1) O C.…

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Q: If log(x + 13) + log(x – 13) = The value of æ is

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Q: Let f(x) = 4log2(x - 3). Shown below are the steps to finding f 1(x). Write the justification for…

A: Describe the each steps as given in steps to find inverse.

Q: The following functions are displayed in the graph. f (x) = log4 (-x + 2) g(x) = – log4 (x + 2) h(x)…

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Q: If fx) = r t 1 and g(x) = 8+x logx 1 what is the domain of (fx g)(x)?

A: To find  The domain of (f*g) (x)

Q: 1. a) Write the following expression as a single logarithm with a coefficient of 1. log(x² +3x +2)–…

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Q: log(2-j)(3 + jv3)

A: Solve it.

Q: 27a b² Evaluate log, (- V81cd whenever log, (a) = 4, log3 (b) = 0, log, (c) = -1, and %| log3 (d) =…

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Q: If log(x + 3) + log(x – 3) = 1 then The value of a is

A: considering log base 10   using log property log(a)+ log (b)=log(axb) and  log 10 =1

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.