6. Rewrite the following expressions as a single logarithm. Show all your steps! a. log, 3+ log, 27-log, 9 b. In(r-9)-in(x+3)- In(x² +2x-15)

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: 2 Find x so that log10 x = log, 10

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Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: Express the below expression as one single log. 3 + 0.5log, x + 0.5log,y - 3log ,z

A: Given,3+0.5log3x+0.5log3y-0.5log3z

Q: Use the properties of logarithms to expand the given expression as much as possible

A: Use division property of logarithm

Q: 6. A. Apply the properties of logarithms to expand the following expressions and simplify as much as…

A: Apply logab= loga + logb           loga/b=loga-logb

Q: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

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

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Q: Which of the following equals 2 log(9) + 2 log(x)? O log (9'a) log(2 9 2a) O log (2 -9 a2) 2.9 log…

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Q: Express as a single logarithm and if possible simplify

A: We have given the expression

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

A:

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

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

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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: - Find the solution set of * 2log2 (x + 8) – log2 (r + 6) = 3

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Q: Suppose log, 3 = 15 and log, 5 22, find: d) log, e) loga a c) log, 1

A: Given that

Q: Express as a single logarithm and, if possible, simplify. 3 1 ww 2 In 4x In 2y 30 5

A: Given: The logarithm expression 32ln 4x6-15ln 2y30 To find: Simplify the given expression as single…

Q: Use log, 20.335, log, 30.593, and log, 50.778 to approximate the value of the given logarithm to 3…

A: On solving this we will get

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

A: We have to expand logarithm

Q: Which of the following shows how long an investment of £1000 would take to grow to £4000 when…

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Q: Determine the expanded form of the following log expression log5(x^-7y^5/z^10)

A: We need to determine the expanded form of the following log expression log5x-7y5z10. So,…

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: Expand the following logarithmic expression as much as possible: (x + 3)*(x² – 4) V5 – x - In

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Q: 13 Which of the following is equivalent to x - 3 = 2? A log, (x - 2) = 2 B log, (x + 3) = 2 C log,…

A: The given equation is: x-3=22

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

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Q: Write the following expression as a single logarithm with coefficient 1: In (2z") – In(3z°) +…

A: Given- ln2x9-ln3x6+ln8x7 To Write- The above expression as a single logarithm with coefficient 1.…

Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: Write the expression as a logarithm of a single ex 1 4 In x- In y 4 Iny-D] 4 In x- %3D 4

A: Using power rule and quotient rule of logarithm,

Q: 8. Write as the sum and/or difference of logarithms. Express powers as factors. Vx +3 (x - 4)5\ In…

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Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

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

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Q: a- Simply the following 1. Inx – In(x2 – 1) + 2ln(x + 3) 2. 5log2 + log3 - log8

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Q: 7) use the properties of logarithms to: a, expand the expression log(x3z y2)

A: Consider the given expression log(x3z y2)

Q: Suppose that In 5 = a and In 11 = b. Use properties of logarithms to write the logarithm in terms of…

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Q: if m=log10 n, what other relationship exists between m, 10, and n?

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Q: Suppose log, (X) = 1.4, log,(Y) = 2.2, and log, (Z) = 2.4. Evaluate the following two expressions.…

A: To find the required value of logarithmic expressions. We use some basic properties of logarithmic…

Q: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

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Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

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Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

Q: 7. Find y'. y = log, (9– x-x)

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Q: 2. Rewrite in terms of a single log (condense): (15log. (x) + 10log. (v)]– 7[3lo9. (x) + loga (v)] 5

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Q: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

Q: (B) 3log,(x)-4 log,(y) – log, (z)

A: The detailed solution is as follows below:

Q: Which of the following points are included in the graph of y= log, ( +5)? Select ALL points where…

A: We will find out the required solution.

Q: Express

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Q: Suppose that In 3= a and In 7= b. Use properties of logarithms to write the logarithm in terms of a…

A: