2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

Q: 4 If log,(x + 1) – log,x = 2, then x equals: F H

A: It is logarithms problem.

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: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: Find the largest value of x that satisfies: log, (2) – log,(æ + 1) = 1 2 Calculator

A: We have to find x

Q: Express In(1+r²) +In r- In sin r as a singel logarithm.

A: Use property of log :→n ln(m) = ln(mn)→ln(m) + ln(n) = ln(mn)→ln(m) - ln(n) = lnmn

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: 7. The expression 4 log x -- log y + 3 log z can be rewritten equivalently as (x*z' (3) log 2y (1)…

A:

Q: Solve each equation.

A: According to logarithimic rule , . If , then .

Q: log,,3 + log, (4x + 1) = log,o (x +1) +1

A:

Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

A:

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

A:

Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: (a) In (x (b) log; 2y2

A:

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: Suppose that, for a certain real number b > 0, log,(3) = 2.53 and log,(5) = 4.21 Find log,(45) 1…

A: Given:  logb3=2.53   and logb5=4.211) logb45=logb9×5we know that log(ab)=loga +logbThen…

Q: Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the…

A:

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

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

A: We have to expand logarithm

Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: Express as a single logarithm. log H+ log Z

A:

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y – 3 loga x 6.…

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

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: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Practice question 9

A: The given logarithmic expression is log a + log 1–2 log b.Simplify the given expression as follows,

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

A:

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

A: To expand the logarithmic expressionlnxy2z3

Q: Use log, 20.401, log, 30.565, and log, 50.842 to approximate the value of the given logarithm to 3…

A: Given,

Q: If VA= B, then log a B =. --

A:

Q: 9.5. Show that (a). Log(1+ i)? = 2L0((1 + i) but (b). Log(-1+i)² + 2Log(-1+ i). %3D

A:

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: -Given that p log, 5, q log, 2 express the following in terms of p and/or q. log, 0.625

A:

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

A: Follow the procedure given below.

Q: Express as a single logarithm. 3 log bt- log bS O A. log t° + log s О В. Тoд b Oc. log, (° -s) 3t O…

A: Use the exponent rule of logarithm to write 3 as exponent.

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: Suppose log, 3 = 15 and log, 5 = 22, find: %3D a) log. 9 b) loga 75

A:

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 =

A:

Q: 2. Rewrite as a single log (condense): 7 5, loga (xy®) +12lo9 x12 - 5log. (y) 16,,8 8

A: Answer and explanation is given below

Q: Evaluate y for the fx)= 4"-5 log,(x) 4*ln 4- Inx 4- x In 9 4- In 9 4'ln 4- x In 9

A: Answer

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A:

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

A:

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

A:

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y - 3 log, x 6.…

A: According to our company's guidelines I can only answer first three subparts of the question B since…

Q: (B) 3log,(x)-4 log,(y) – log, (z)

A: The detailed solution is as follows below:

Q: * Suppose that In 2 = a In 3 = b. Use properties of logarithms to write the logarithm in terms of a…

A: Properties:

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