Determine whether the equation log4(2x3) = 3 log4(2x) is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement.

Q: What is the value of log3(-9)

A: Given, The expression   log3(-9) We have to find the value of expression

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. x3 - x =…

A: Given x3 - x = log(x + 1)

Q: log æ + log (x - 15) = 2

A:

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. log x =…

A: The graphing device helps to find the solution of the given equation. Substitution of the given…

Q: What is the exact value of log3 9?

A: We have to find the exact value of the expression: log39 We know the properties of logarithm, m…

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

A: Option c is correct.

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

A: Given expression lnx4+2 lnx4+2=lnx4+212 Use the power rule of logarithm, logcAb=blogcA…

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: Determine whether the equation log6[4(x + 1)] = log6 4 + log6(x + 1) is true or false. Where…

A:

Q: Determine whether the equation (log2 x)4 = 4 log2 x is true or false. Where possible, show work to…

A: Given equation log2x4=4log2x. Given statement is false because the identity used is not correct.…

Q: Explain the differences between solving log3(x - 1) = 4 and log3(x - 1) = log3 4.

A: we have to explain the differences between solving  log3(x - 1) = 4 and log3(x - 1) = log3 4.

Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

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

A:

Q: Determine whether the equation is true or false: log(x + 2)/log(x - 1) = log(x + 2) - log(x - 1).…

A: we have to determine whether the given statement is true or false. log(x + 2)/log(x - 1) = log(x +…

Q: log3 x = −4

A: log3 x =-4 To solve for x

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

A: We need to solve for x.

Q: Determine whether the following statement is true or false, and explain why.

A: We know, By definition: logax=y,if and only if x=ay Also by logarithmic property:logaan=n…

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

A: Here we use some properties of logs to expand the given function.

Q: Without using log.[log 3(log, 8)]. a calculator, find the exact value of

A: Without using a calculator, find the exact value of log4log3log2 8

Q: Find the value of x log2(log4x)=3

A:

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

A: log32xy

Q: The homework question asks to Solve the logarithmic equation algebraically, which im having…

A: Solving the logarithmic equation algebraically:log2(x+20)- log2(x+2) = log2 (x+2) = log2 xAccording…

Q: Use logarithmic properties to expand the expression as much as possible:  log5(√x/25y3).

A: The given expression is log5x25y3

Q: Determine whether the equation, log(x + 9) - log(x + 1) = log(x + 9) / log(x + 1), is true or false.…

A: Given that: The equation is log ( x + 9 ) - log ( x + 1 ) = log ( x+ 9)log ( x+ 1) . Statement :…

Q: Express the solution in terms of logarithmics

A: Here given Taking ln both side we get

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

A:

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: Determine whether the equation is true or false: log6(x - 1)/(x2 + 4) = log6(x - 1) - log6(x2 + 4).…

A: Consider the given: log6x−1x2+4=log6x−1−log6x2+4 Solve Right Hand Side: log6x−1−log6x2+4

Q: If log(7x + 3) - log(2x + 5) = 4, then the equation in exponential form is 104 = (7x + 3) - (2x +…

A: Equation Solve: log(7x+3)-log(2x+5)=4We know logm-logn=logmnTherefore…

Q: Solve the equation. log x + log (x + 9) = 1

A:

Q: Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2

A: Solution of question is written in below steps.

Q: 3. Solve forx: log x + log (2x/5) -6

A:

Q: Determine whether the equation is true or false: x log 10x = x2. Where possible, show work to…

A: Consider the following formulae: logmn=nlogmlog10=1 Consider the following expression:…

Q: Log7 (x+5)+log7 |÷|>

A: Given inequality is   log7(x+5) + log7(2x) > 1  We use some logarithm properties and then find…

Q: Determine whether the equation is true or false: log6[4(x + 1)] = log6 4 + log6(x + 1). Where…

A: Given: log64x+1=log64+log6x+1 To Determine: Whether the given statement is True or False. Concept:…

Q: Evaluate the expression log3(log2 1/8) without using a calculator. If evaluation is not possible,…

A: Evaluate the expression log3(log2 1/8) without using a calculator. If the evaluation is not…

Q: What is the value of log2 1/4

A: Recall the general formula for logarithm as shown on the white board.

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

A: The given logarithm expression can be expanded using following properties of logarithms. The…

Q: Solve the equation: LOG(x + 5) = LOG(4x - 4)

A: Given,  log(x+5)=log(4x-4)

Q: Use the Laws of Logarithms to expand the expression. log3 (x√y)

A: Let the given expression be z - z = log3xyz = log3x+log3y…

Q: Determine whether the equation is true or false: log4(2x3) = 3 log4(2x). Where possible, show work…

A: Given information: The log statement, log42x3=3log42x. We have to show the equation is true or false…

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: 2. Can log:(-4) be solved? If yes,

A:

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

A:

Q: solve, log(x)+log(x+1)=2 . please show work.

A: using the  formula logm+logn=logmn