e* - e* y 2

Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: Find the value of x in the logarithmic equation

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

Q: Use common logarithms to solve the equation for x in terms of y.

A: Consider the given function as y=110x+10-x

Q: Find the value of x in the equation 2 log3 x − log3 (x + 2) = 0

A:

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

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: Solve y = log5 x

A: Our Aim is to solve y=log5 (x) -(i)

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: Solve the logarithmic equation. log7 x = 3 II

A: For this problem, we can find x easily by using formula.

Q: In(x-글) + In(2) = 2 In(x)

A: Please refer the attached image for complete solution. THANK YOU.

Q: Use common logarithms to solve for x in terms of y

A: The function given is , y=ex+e-xex-e-x. Let z=ex. y=z+1zz-1zy=z2+1zz2-1zy=z2+1z2-1

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: 'x + 2 3. -dx x + 1

A: To integrate: ∫x+2x+1dx Solution: Evaluating the integral.…

Q: 3. Log-linearize the equation, x, +a = (1-b)

A:

Q: Solve the logarithmic equation for x. In( x - 1/2) + In 2= 2 In x

A:

Q: Use common logarithms to solve for x in terms of y

A: Let take 10x=t then 10-x=t-1. Now, replace 10x with t in y=10x+10-x2 and solve it.…

Q: =xpress the number sinh in terms of natural logarithms- 84 -

A: Given: sinh-1-1384

Q: Use logarithmic properties to write in simpler form. In xy In xy =

A:

Q: Solve the logarithmic equation for x. log,(9 – x) = 2 - log,(-x) 3D2 6

A: We need to solve for x.

Q: Write as a single logarithm. Express coefficients as powers inside the logarithm. 6 In(x) + 3 ln(y)…

A: Here we need to write the given expression  6ln(x)+3ln(y)-7ln(z)-5ln(w) as single expression.

Q: 2 log, (x) = 2

A: The given equation is: 2 log4(x) = 2

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

A: log32xy

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

A: The given expression is log3xzy

Q: solve for x (use log where is necessary) 22+x=3x

A:

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: 4. | е3x dx

A: The substitution method for integration is used when an integral contains some function and its…

Q: log1 x = -4, X = ?

A:

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

A: To Determine:

Q: solve 5^x+5 = 9^x  using logarithmic function round to 3 decimal places

A: 5x + 5 = 9x taking log both side:-

Q: Solve the equation for x: log30x+log30(x−1)=1

A: Given :   To solve for x.

Q: Express the solution in terms of logarithmics

A: Here given Taking ln both side we get

Q: Use common logarithms to solve the equation for x in terms of y.

A: Y=110x-10-x

Q: Solve the logarithmic equation for x. log(9 – x) = 2 – log,(-x) 3D2

A: To solve the given logarithmic equation for x.

Q: Solve the equation for x. log27x+3  =3                                                        x

A: The given expression is

Q: Use logarithms to solve. e2x – ex – 56 = 0 - -

A: Given: e2x-ex-56=0. To find: The solution of given equation.

Q: Use the properties of logarithms to expand the logarithmic expression. ln(3e2)

A: The given expression is ln3e2.

Q: Solve the logarithmic equation for x.

A: a.)Given equation - log(2x) = 4log10(2x) = 4            log is log10 with base 10, ln is lne with…

Q: Use logarithms to solve. e2x – et – 56 = 0 -

A:

Q: Solve the logarithmic equation for x. log x + log(x - 1) = log(4x)

A: Consider the provided equation, logx+logx-1=log4x Solve the logarithmic equation for x. Apply the…

Q: Solve the logarithmic equation for log x + log(x–1) = log(4x)

A: Given, log(x)+log(x-1)=log(4x) By applying the log rule, loga+logb=logab ⇒log x(x-1)=log…

Q: Differentiate. Solve using log properties. log2(e^xcos pi x)

A:

Q: Solve the logarithmic equation for x. log2 x + log2 (x – 6) = 4

A:

Q: Solve the logarithmic equation for x. 2 log x = log 2 + log(3x - 4)

A: Given 2 log x = log 2 + log(3x - 4)

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x,…

A: Use property of log

Q: Use common logarithms to solve for x in terms of y

A: Given equation is: y=10x-10-x10x+10-x We have to solve for x in terms of y using common logarithm.

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

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

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

A: Given: log4z3

Q: Use logarithms to solve. e2x – ex – 90 = 0 %3D -

A: Solve: e2x - ex -90=0