Rewrite the following in the form log(c). log(10)-log(2)

Identify properties of logarithms: Identify the properties of logarithms that can be used to simplify the expression log(10) - 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 log(10) - log(2). log(10) - log(2) = log(10/2)Calculate quotient: Calculate the quotient 10/2. 10/2 = 5Rewrite expression using result: Rewrite the expression using the result from Step 3. log(10) - log(2) = log(10/2) = log(5)

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Rewrite the following in the form
log(c).

log(10)-log(2)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (10)-\log (2)$

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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 (10)-\log (2)

Identify properties of logarithms: Identify the properties of logarithms that can be used to simplify the expression $\log(10) - \log(2)$ . $\newline$ The difference of logarithms of two numbers equals the logarithm of their quotient. $\newline$ Quotient property: $\log_b (P) - \log_b (Q) = \log_b (\frac{P}{Q})$
Apply quotient property: Apply the quotient property of logarithms to $\log(10) - \log(2)$ . $\newline$ $\log(10) - \log(2) = \log\left(\frac{10}{2}\right)$
Calculate quotient: Calculate the quotient $10/2$ . $\newline$ $10/2 = 5$
Rewrite expression using result: Rewrite the expression using the result from Step $3$ . $\log(10) - \log(2) = \log\left(\frac{10}{2}\right) = \log(5)$