Rewrite the following in the form log(c). log(8)-log(2)

Identify Property: log(8) - log(2) Identify the property that can be used to combine the logarithms. 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: log(8) - log(2) Apply the quotient property of logarithms. log(8) - log(2) = log(8/2)Calculate Division: Calculate 8/2. Divide 8 by 2 to get 4. log(8/2) = log(4)Rewrite in Form: Rewrite log(4) in the form log(c). Since 4 is already a constant, we can express it as c. log(4) = log(c) where c = 4

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Rewrite the following in the form
log(c).

log(8)-log(2)

Rewrite the following in the form $\log (c)$ . $\newline$ $\log (8)-\log (2)$

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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 (8)-\log (2)

Identify Property: $\log(8) - \log(2)$ $\newline$ Identify the property that can be used to combine the logarithms. $\newline$ Difference of logarithms of two numbers equals the logarithm of their quotient. $\newline$ Quotient property: $\log_b P - \log_b Q = \log_b \left(\frac{P}{Q}\right)$
Apply Quotient Property: $\log(8) - \log(2)$ $\newline$ Apply the quotient property of logarithms. $\newline$ $\log(8) - \log(2) = \log\left(\frac{8}{2}\right)$
Calculate Division: Calculate $8/2$ . $\newline$ Divide $8$ by $2$ to get $4$ . $\newline$ $ext{log}(8/2) = ext{log}(4)$
Rewrite in Form: Rewrite $\log(4)$ in the form $\log(c)$ . $\newline$ Since $4$ is already a constant, we can express it as $c$ . $\newline$ $\log(4) = \log(c)$ where $c = 4$