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

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

A: We have to find x

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: 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: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal…

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

A:

Q: if a=log m and b=log k . what is log m6/k7 ?

A: Given,            a =log m and b = log k

Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: log, (x – 1) – 5,

A: Let f(x)=log2(x-1)-5. Now f(2)=log2(2-1)-5=log2(1)-5=log2(20)-5=0-5=-5…

Q: If log3 (x)=4, log3(y)=-1, and log3(z)=5, what is log3 (xy)? ?

A: Objective of the question find the value of expression with the help of given data.

Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: Approximate x to three significant figures.

A: Logarithm is the exponent or power to which a base must be raised to get a given number. For example…

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: 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: Find the value of y:  logy32=5

A: Given, expression

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: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: Express log x Vy/z in terms of logarithms of x, y, and z.

A: Express log x4y2/z3 in terms of logarithms of x, y and z.

Q: Express the quantity as a single logarithm.   In 3 + 1/3  In 8

A: Given- ln3+13ln8 To express- The above expression as a single logarithm. Formula used- lnam=mlna and…

Q: Approximate x to three significant figures.

A: we have  log x=4.9680 We have to approximate x to three significant figures,

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

A:

Q: If loga = x and logb-y, then log Vab is equivalent to %3D %3D

A: To find equivalent relation, we will apply basic logarithmic formulas to the given expression.

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: Express log x log y as a single logarithm

A: Now using the property of logarithm

Q: If log, æ = 0.63, log, y = 1.46, and log, z = 1.77, loga

A: As we know that, The logarithmic properties: 1). logaxb=b·logax 2). logaxy=logax+logay 2).…

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

A: To expand the logarithmic expressionlnxy2z3

Q: Express as a single logarithm with a coefficient of 1: 1/2 logb x - logb(x2 + 1).

A: logmt-logms=logmtsa logmn=logmna

Q: If log x = 3.5 and log y = 5.5, how do x and y compare?

A: We use the definition of the logarithmic function to answer the given question.

Q: Express the quantity as a single logarithm.

A:

Q: Expand the log by using the properties of log.

A: The given log function is,

Q: For a logarithmic expression log, x, b cannot be less than 1. True False

A: Please refer the attached image for complete solution.

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Evaluate: x log x dx.

A: In this question, we need to solve the integral.

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: Express the quantity as a single logarithm.   In 5 + 5  In 3

A:

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

A:

Q: given log y+3 log(x+2): REWRITE as a single log

A:

Q: If log, 2 = 0.3869, log, 3 = 0.6131, and log, 5 = 0.8982, ()- loga Round answer to four decimal…

A: Given loga 2 = 0.3869, loga 3 = 0.6131  and  loga 5 = 0.8982 we have to find loga310

Q: Express the given quantity as a single logarithm. In(a + b) + In(a - b) – 3 In(c)

A: Given  ln(a+b) + ln(a-b) - 3 ln c  = ln [ (a+b)(a-b) ] - 3 ln c   = ln ( [ (a+b)(a-b) ] / c ) ln a +…

Q: 2 In x + 3 In y – In z

A:

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

A:

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

A:

Q: Use log, 3 z 0.5869 and log, 5 z 0.8598 to find an approximate value for V5 logb 9

A:

Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx

Q: Express as a product. log A (y)

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

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.