Rewrite the following in the form log(c). log(20)-log(4)

Identify Property: Identify the property of logarithm used to rewrite log(20) - log(4). The expression involves the difference of two logarithms with the same base. The quotient property of logarithms states that the difference of two logarithms is the logarithm of the quotient of their arguments.Apply Quotient Property: Apply the quotient property to combine log(20) - log(4) into a single logarithm. Using the quotient property, we can write the difference of the two logarithms as the logarithm of the quotient of their arguments: log(20) - log(4) = log(20/4)Calculate Quotient: Calculate the quotient inside the logarithm. Calculate the value of 20 divided by 4: 20/4 = 5Write Final Expression: Write the final expression using the result from Step 3. Since 20/4 equals 5, we can write the expression as: log(20) - log(4) = log(5)

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Rewrite the following in the form
log(c).

log(20)-log(4)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (20)-\log (4)$

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Math Problems

Algebra 2

Evaluate logarithms using properties

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Q. Rewrite the following in the form

\log (c)

\newline

\log (20)-\log (4)

Identify Property: Identify the property of logarithm used to rewrite $\log(20) - \log(4)$ . The expression involves the difference of two logarithms with the same base. The quotient property of logarithms states that the difference of two logarithms is the logarithm of the quotient of their arguments.
Apply Quotient Property: Apply the quotient property to combine $\log(20)$ - $\log(4)$ into a single logarithm. $\newline$ Using the quotient property, we can write the difference of the two logarithms as the logarithm of the quotient of their arguments: $\newline$ $\log(20) - \log(4) = \log\left(\frac{20}{4}\right)$
Calculate Quotient: Calculate the quotient inside the logarithm. $\newline$ Calculate the value of $20$ divided by $4$ : $\newline$ $\frac{20}{4} = 5$
Write Final Expression: Write the final expression using the result from Step $3$ . $\newline$ Since $20/4$ equals $5$ , we can write the expression as: $\newline$ $\log(20) - \log(4) = \log(5)$