Rewrite the following in the form log(c). log(15)-log(3)

Property Simplification: log(15) - log(3) Which property can be used to simplify the expression? Difference of logarithms of two numbers equals the logarithm of their division. Quotient property: log_b P - log_b Q = log_b (P/Q)Apply Quotient Property: log(15) - log(3) Apply the quotient property of logarithms. log(15) - log(3) = log(15/3)Calculate Division: Calculate 15/3. Divide 15 by 3 to get 5. 15/3 = 5Replace with 5: log(15/3) Replace 15/3 with 5. log(15/3) = log(5)

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Rewrite the following in the form
log(c).

log(15)-log(3)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (15)-\log (3)$

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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 (15)-\log (3)

Property Simplification: $\log(15) - \log(3)$ $\newline$ Which property can be used to simplify the expression? $\newline$ Difference of logarithms of two numbers equals the logarithm of their division. $\newline$ Quotient property: $\log_b P - \log_b Q = \log_b \left(\frac{P}{Q}\right)$
Apply Quotient Property: $\log(15) - \log(3)$ $\newline$ Apply the quotient property of logarithms. $\newline$ $\log(15) - \log(3) = \log\left(\frac{15}{3}\right)$
Calculate Division: Calculate $15/3$ . $\newline$ Divide $15$ by $3$ to get $5$ . $\newline$ $15/3 = 5$
Replace with $5$ : $\log(\frac{15}{3})$ $\newline$ Replace $\frac{15}{3}$ with $5$ . $\newline$ $\log(\frac{15}{3}) = \log(5)$