condense to a single logarithm with a leading cofficient of 1  In(3)+In (x) + In (y)

Q: 5. Solve for x by converting the logarithmic equation log17(x)=2 to exponential form.

A: log17x=2Formula:Logarthimic        to      Exponentiallogb n=a                       ba=n

Q: snipped

A:

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

A: Given,

Q: Find the value of x in the logarithmic equation

A: Given, 1) log24x +log29=log2722) log381=x3)log2(2x+1)<3

Q: If log2 X = 5, what is ln X?

A: topic - logarithmic function

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

A:

Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

A:

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

A:

Q: solve for x by converting the logarithmic equation to exponential form  log36(x)=1/2 x=

A:

Q: Given that ln(5) = x and ln(7) = y, express the given logarithmic value in terms of x and y.…

A: Given that ln(5) = x and ln(7) = y. Use the property of the ln function

Q: Solve the logarithmic equation for x. LOG(4x + 1) = 2

A: Taking exponential on both side

Q: . How is the graph of log x related to the graph of ln x?

A: Here , ln x represents the natural logarithm where its base is e whereas the base of log x is 10 .…

Q: Differentiate the Logarithmic function: y = 3 ln square root of x

A:

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

A: Given logarithmic expression is log4xz. To express logarithms in terms of x, y, z or w. Solution: We…

Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

A:

Q: Express the given quantity as a single logarithm.  ln 5 + 5 ln 3

A: Given

Q: Solve the Logarithmic equation for x.    log(4x+7)-2=0

A:

Q: Compute log3 without using a calculator, where log3(X) = 81 - 1.5

A: Using logarithmic Properties.

Q: y = (cos(x²))* -2 Co:

A:

Q: Choose the exponential form of the logarithmic equation log3 (7x + 6) = 3. %3| O 33 = (7x + 6)° O…

A: Option c is correct.

Q: Solve the logarithmic equation for x. 4 - log(3 - x) = 3

A: Our Aim is to solve the logarithmic equation for x.4-log(3-x)=3 -(i)

Q: log x – 3 log y +;log x – 2 log w

A: Given,log x-3 log y+12log x-2 log w

Q: Evaluate the logarithm at the given value of x without using a calculator. Function Value g(x) =…

A:

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

A:

Q: Solve the logarithmic equation for x. 6 ln(4 − x) = 5

A:

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: Evaluate the principal values of Ln (2-53) + Log(3) Log;(2+))

A:

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

A: The given expression is log3xzy

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

A: We have to express in terms of logarithms: log4yx We know the property of logarithm,…

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

A:

Q: in X

A:

Q: Solve the logarithmic equation for x. log(3x + 5) = 2

A: To Determine:

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

A: The given expression is logax3wy2z4

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given that the percentage of adult height attained by a girl who is x years old can be modeled by…

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: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

A:

Q: Differentiate f (x) = loge (x26")

A:

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

A:

Q: when expressed as a single logarithm: ln(y + 2) - (2ln6 + ln x) becomes

A: We make the coefficient into an exponent

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

A: Use the Laws of Logarithms to expand the quantity.

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: Use the properties of logarithms to expand the logarithmic expression.      ln(xyz)

A: Given: ln xyz To expand: The given logarithmic function.

Q: Differentiate the following logarithmic functions and show that y=ln(x+5)2≠[ln(x+5)]2

A:

Q: Differentiate y = - using Logarithmic differentitation. A x2x' +1

A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

Q: Differentiate. y= log 7x dx log 7x=

A: y=log7xTo differentiate.

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

A:

Q: A person places $123 in an investment account earning an annual rate of 2.8%, compounded…

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