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: d) The inverse of the exponential function y = bx, is obtained by interchanging the x and the y…

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Q: xvx² – 1 In (х — 3)

A: Given,           lnxx2-1x-32

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: For all values of x > 4, log (x + 4) + log (æ – 4) = log (2x) True False

A: logx+4+logx-4=log2x

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: 3. Expand the logarithms below: log,(3x'y^y' b. log log (– 2a²b*)* а.

A: Solution:  The objective is to expand the given logarithmic functions

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

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Q: (8 x V5 Write log in terms of 81 log 2, log 3 and log 5 to any base.

A: Given, log (8*51/4/81)

Q: Condense the expression to the logarithm of a single quantity. [2 In(x + 4) + In(x) - In(x² - 9)] In…

A: given information 122lnx+4+lnx-lnx2-9

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

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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: Solve for x. Show exact values. State restrictions on the variable (if applicable). a) 216x+1 = 6x-4

A: Introduction: Indices describe the basic properties of algebraic expressions. It deals with the base…

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

A: Solve it.

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: A) fex) = (x + log (log (3²+x²)) ; f(x)= O(³√x) B) f(x)= lg (2²-x²); f(x) € (x) A. Only A is TRUE B.…

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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.

Q: 27) Expand the following logarithmic expression entirely, over the real numbers: x² – 4 In |(x² +…

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Q: 9) Use the properties of logarithms to write as a single logarithm and make sure all your exponents…

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