Expand the following i) log1000 ii) log(128/165) iii) log x2y3z4

Q: Expand log(8k)

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Q: Differentiate log(x² + 1)². O (x2 + 1) ln 10 4x O 4x(x² + 1) ln 10 O 2x(x² + 1) ln 10 4(x2 + 1) In…

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Q: 2. Use BabyStep-GiantStep to compute log;(12) in Zr.

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Q: What does the multiplicative property of logs say that logb(m⋅n) is equal to?

A: Log of multiplication of two numbers is sum of log function

Q: 16. Use properties of logarithms to expand log (²₁¹). t14

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Q: log, (x³y?) + log3 x 27 log, (x³y²) + log3 x²y

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Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

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Q: Compute logb2 (b4).

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Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

Q: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

Q: In + 1

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Q: Expand the following: a) log 3x2/ y4 b) log5 x5 (square root of y)/ z3

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Q: Evaluate the following. 1 a) log√3 b) log² √b

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Q: asb b? =In 2. %3D (3

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Q: Express the following using a single log: 3Log ab2 -Log a2b - 4 Log a/b - 3Log b2

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Q: Expand the following expression as much as possible and compute any parts that can be done without a…

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Q: if 3loga + 5 laga - bloga=log64 %3D what is a?

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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: 1. What is log,, 100? What about log,00 10? 2. What is log, 4? What about log, 2? 3. Express b as a…

A: values=?

Q: Expand the following logarithm into the sum/difference of multiple logarithms in their simplest…

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Q: 1) Condense the following logarithr 4log3x + log,v 2) Expand the following logarithm log.()

A: We have to expand logarithm

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

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Q: Use the properties of logarithms to approximate the following, given logb 2 ≈ 0.3563, logb 3 ≈…

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Q: 1. Write as the sum or difference of logarithms V5 log3- q2p a) log3 5 - log3q - log3p b) log3 5 -…

A: Given logarithmic expressionlog35q2p

Q: Express as a sum of logarithms. log 6(13 • 14) = %3D log 6(13 • 14)

A: We will use the logarithmic property return below

Q: Which of the following is equivalent to 142 = X? O logx(14) = Z O log x(Z) = 14 O log14(Z) = X O…

A: The objective is to find the correct option.

Q: 4. (a) Use logarithm properties to expand In ( (@+5)(x – 6)² (x+ 3)3). (b) Rewrite log3(x) + log3 (y…

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Q: Differentiate log(x² + 1)². O 2x (x2 + 1) ln 10 O 4x(x² + 1) In 10 4(x2 + 1) In 10 O (x² + 1) ln 10…

A: see below the answer and calculation

Q: Use the Laws of Logarithms to expand the quantity.          ____In  √ab

A: We have to expand ln ab

Q: Compute logb2(b4).

A: The given expression is logb2b4

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

A: Given,

Q: Expand the following expressions a.) log5xyz b.) log6(3x/y3z)2

A: Given : a.) log5xyz b.) log6(3x/y3z)2

Q: Expand but do not solve. Log base(6)17(2+4)

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Q: (8) Expand the following into as many logarithms as possible, with what's inside each logarithm as…

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Q: Which of the following in not equivalent to log, 3z O 4 log, y - log, 3x O 4 log, y – log, 3 - log,…

A: logmn=logm+logn log(m/n) =logm-logn

Q: Use the properties of logarithms to approximate the following, given logb 2 ≈ 0.3563, logb 3 ≈…

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Q: Expand the logarithimic expression.

A: Given: y=lnx2-1x2+1 We know that lnmn=nlnm…

Q: convert the exponetial in logaritham form. 4v=a

A: logarithmic form will be  log4a = v

Q: Compute 3 In(e) +2 log(10) 7 11 1 9. 3. B8

A: Solve by properties of logarithm.

Q: Evaluate (logyx)°, having given, 1 1 y = log10x + log10x +, logi0x + 00 ... - 2 1+3+5+ ..+ (2y – 1)…

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Q: Use the Laws of Logarithms to expand the quantity.

A: Given, We know that, lna·b·c=lna+lnb+lnclnam=mlna

Q: Expand and simplify: log4(xy^5/z^4)

A: To simplify the below logarithmic expression

Q: Expand the following logarithms 8) 5x log 3.

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Q: Prove that log46 is irrational

A: We have to show that log46 is irrational. We are going to prove this by using contradiction method.…

Q: Expand and evaluate numerical terms: log [√(xy) /1000]

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Q: 4. The expression loga is equivalent to 5 O 3log.y +log, -log,5 O 3logay +2logax – loga5 | Olog (3y)…

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