1. Write the logarithm log [2x(x²+3)*| as a sum or difference of logarithms. Expand and V4-3x simplify each term as much as possible. Show all work.

Q: Express the quantity as a single logarithm. In 2 +In 27

A: Given,

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: 15) Use the properties of logarithms to rewrite each 2 a. In c. In 5y b. In Vr+2 d. In ¤(x +1)´

A: Explanation and solutions is given below....

Q: If log2(7x+6)=1, then x=

A:

Q: Fully expand the following logarithmic expression into a sum and/or difference of logarithms of…

A:

Q: log æ + log (x - 15) = 2

A:

Q: Use the Product Rule of Logarithms to write the completely expanded expression equivalent to…

A:

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

A: Use division property of logarithm

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: Use the power rule to expand the logarithmic expression: log(x + 4)2.

A:

Q: Write the expression as a logarithm of a single quantity. + In(x + 5) – 3 In(1 + Vx) 2

A: Given expression is ln6+12lnx+5-3ln1+x We have to write given expression as a logarithm of a single…

Q: Use the Laws of Logarithms to expand the expression. log2 (xy)10

A: Our Aim is to expand the expression given below:-log2 (xy)10 -(i)

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

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

A: Use base switch rule.

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

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA…

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve…

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

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

A:

Q: Use the laws of logarithms to expand and simplify the expression. x3 In Vx (1+x)5,

A: To simplify the expression

Q: Use the properties of logarithms to expand the logarithmic expression.

A:

Q: Use the laws of logarithms to expand and simplify the expression. In Vx (1+x)5,

A: We have to express the expression

Q: Expand the logarithm and simplify as much as possible. 3y4 log, () =

A: We have to solve given expression.

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: Find the domain of the logarithmic function. f(X) = In (x² = x-6)

A:

Q: If log2(4x+5)=1, then x=

A: To find the value of x we need to apply basics in logarithmic relation. We have the formula,…

Q: Write the expression as a logarithm of a single quantity.

A: Given: Let y=2ln x-lnx+1-lnx-1 To Find: To write the given expression as a logarithm of a single…

Q: Condense to a single logarithm with a leading coefficient of 1. -logb

A:

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

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: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

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: Use the Laws of Logarithms to expand log2 7t². in

A: To expand using laws of logarithms

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

A: logax2yz3

Q: Expand the logarithimic expression.

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

Q: The expansion of the logarithmic expression x² (x+1) In (2x-3) is

A: The given logarithmic expression is lnx2x+12x-3. The following formula are used in solving the given…

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: 9) Write as a sum or difference of logarithms, express powers as factors: In 2 x(x² + 1)² V3x=T

A:

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

A:

Q: Use the laws of logarithms to expand and simplify the expression. x3 In x (1+x)5) () In (1+x)5

A: We have to simplify the given log function.

Q: single logarithm:

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

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

A:

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

A:

Q: 1 Rewrite log x 2 as a single logarithm with no exponents.

A: Rewrite log x12 as a single logarthim

Q: Express

A:

Q: Suppose that A is a number with log(A) = 1.352. What is the value of %3D log(1000A)? *

A: we have to find

Q: Expand the logarithimic expression.

A: log4x3y2x-15