Rewrite the following in the form log(c). log(4)-log(2)

Identify Properties: Identify the properties of logarithms that can be used to simplify the expression log(4) - log(2). The difference of logarithms of two numbers equals the logarithm of their quotient. Quotient property: log_b P - log_b Q = log_b (P/Q)Apply Quotient Property: Apply the quotient property of logarithms to the expression log(4) - log(2). log(4) - log(2) = log(4/2)Calculate Quotient: Calculate the quotient 4/2. 4/2 = 2Rewrite Expression: Rewrite the expression using the result from Step 3. log(4) - log(2) = log(4/2) = log(2)

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Rewrite the following in the form
log(c).

log(4)-log(2)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (4)-\log (2)$

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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 (4)-\log (2)

Identify Properties: Identify the properties of logarithms that can be used to simplify the expression $\log(4) - \log(2)$ . The difference of logarithms of two numbers equals the logarithm of their quotient. Quotient property: $\log_b P - \log_b Q = \log_b (P/Q)$
Apply Quotient Property: Apply the quotient property of logarithms to the expression $\log(4) - \log(2)$ . $\log(4) - \log(2) = \log\left(\frac{4}{2}\right)$
Calculate Quotient: Calculate the quotient $4/2$ . $\newline$ $4/2 = 2$
Rewrite Expression: Rewrite the expression using the result from Step $3$ . $\newline$ $\log(4) - \log(2) = \log\left(\frac{4}{2}\right) = \log(2)$