Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step? Original Equation: x+4=-2 First Step: x=-6 multiplication property of equality division property of equality commutative property of addition subtraction property of equality

When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newlinex+4=−2 x+4=-2 \newlineFirst Step:\newlinex=−6 x=-6 \newlinemultiplication property of equality\newlinedivision property of equality\newlinecommutative property of addition\newlinesubtraction property of equality

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Identify properties of logarithmsright chevron icon

Full solution

Q. When solving an equation, Francesca's first step is shown below. Which property justifies Francesca's first step?\newlineOriginal Equation:\newlinex+4=−2 x+4=-2 \newlineFirst Step:\newlinex=−6 x=-6 \newlinemultiplication property of equality\newlinedivision property of equality\newlinecommutative property of addition\newlinesubtraction property of equality
  1. Initial Equation: Francesca's first step in solving the equation is to go from x+4=−2x + 4 = -2 to x=−6x = -6. This step involves removing 44 from both sides of the equation. This is done to isolate the variable xx on one side of the equation. The property that justifies this action is the subtraction property of equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.\newlineCalculation: x+4−4=−2−4x + 4 - 4 = -2 - 4 results in x=−6x = -6.

More problems from Identify properties of logarithms

Question
Write the exponential equation in logarithmic form.\newline93=7299^3 = 729\newlinelog⁡□729=3\log_\square 729 = 3
Get tutor helpright-arrow

Posted 3 months ago

Question
Write the exponential equation in logarithmic form.\newlinee4≈54.598e^4 \approx 54.598\newlineln⁡____≈4\ln\_\_\_\_ \approx 4
Get tutor helpright-arrow

Posted 3 months ago

Question
Write the logarithmic equation in exponential form.\newlinelog⁡10100=2\log_{10}100 = 2\newline102=‾10^2 = \underline{\hspace{2em}}
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.\newlineln⁡(e)10=\frac{\ln (e)}{10} = ______
Get tutor helpright-arrow

Posted 3 months ago

Question
Rewrite as a quotient of two common logarithms. Write your answer in simplest form.\newlinelog⁡333=\log_3 33 = ______
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate. Round your answer to the nearest thousandth.\newlinelog⁡550=\log_{5}50 = ____
Get tutor helpright-arrow

Posted 3 months ago

Question
Which property of logarithms does this equation demonstrate? \newlinelog⁡33+log⁡36=log⁡318\log_3 3 + \log_3 6 = \log_3 18\newlineChoices:\newline(A) Product Property\text{Product Property}\newline(B) Power Property\text{Power Property}\newline(C) Quotient Property\text{Quotient Property}
Get tutor helpright-arrow

Posted 3 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡(uv)\log(uv)\newline_____
Get tutor helpright-arrow

Posted 3 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡v7\log v^7 \newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of base-66 logarithms or multiples of base-66 logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡6w6\log_6 w^6\newline______
Get tutor helpright-arrow

Posted 3 months ago

View all (19)