Suppose that a and y are real numbers such that log2 (x) = – 3 and log2 (y) 6. Calculate the following Part A. log, (16x) xy Part B. log, () 4 Part C. log, 4

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 terms of logarithms of x, y, z, or w.

A:

Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: Show that, log5 x can be expressed as 2 log, x, where b> 0.

A:

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

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: Given :            loga y5 w2x4 z3  To express loga y5 w2x4 z3 in terms of logarithms of x, y, z…

Q: Express in terms of logarithms of x, y, z, or w.

A: Express in terms of logarithms of x, y, z, or w.  Given expression is log3 y5

Q: 5. Given that log 2 = x and log 3 = y, express log /54 in terms of x and y.

A:

Q: determine the nature of functon for even and odd Ax) = log(x+ Vx² +1) ?+1)

A:

Q: Choose the letter of the log form that is equivalent to y = 2x+1 A. log2y = x + 1 B. log 2 x+ 1 C.…

A:

Q: Express log (x + 1)³ – 2log (x + 1) + 3 log (x – 1)²– log (x³ – 1) as a single logarithm

A: Logarithmic equation: A logarithmic equation is an equation involving the logarithm of an expression…

Q: Which of these are equivalent to log 1? yz?

A:

Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: Express as a single logarithm. (a) į In x- 2 In(x' + 1) (b) In(x – 3) + In(x + 3) – 2 In(x² – 9)

A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: 4. The domain of the logarithmic function f(x) = log, x is

A: fx=logax

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: Show that log, (x + Vx² – 1) + log,(x – Vx – 1) = 0.

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

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: 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: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

Q: log, (x17 3 ,17

A: Given expression, log3x17 y173

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

A:

Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: (b) 2log(x – 3) – log(x – 1) = 0

A:

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

A: To expand the logarithmic expressionlnxy2z3

Q: Express in terms of logarithms of x, y, z, or w.

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

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: e ecse with the and of logarcdtlmc dffenatiation /-

A: We have to find the differentiation of the given y

Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

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: Expand the log by using the properties of log.

A: The given log function is,

Q: b- find x for following 1. logx = v2

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: (b) Show that 1 1+ 2 tanh- (2) = ; log

A:

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

A:

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: 5. Prove if the following function is differentiable y = x loge-*

A: Given that: y=xloge-x

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: Given that log x=2.5 and log y = 4 , find the value of log (yx)

A:

Q: Express single logarithm: log; x + 2 log, y – 3 log; z as a

A:

Q: Find for the following function: 3- y = log,(x - x) 4- y = In2

A: It is an important part of statistics . It is widely used .