Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
$\log_{2} (2 x)$
A. 2
B. $1 + \log_{2} x$
C. 1
D. $x$

Answer

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Final Answer: $1 + \log_{2} x$

Steps

Step 1 ：Given the logarithmic expression $\log_{2} (2 x)$ .

Step 2 ：Use the property of logarithms that states $\log_{b} (m n) = \log_{b} (m) + \log_{b} (n)$ to rewrite $\log_{2} (2 x)$ as $\log_{2} (2) + \log_{2} (x)$ .

Step 3 ：We know that $\log_{2} (2) = 1$ , so the expression simplifies to $1 + \log_{2} (x)$ .

Step 4 ：Final Answer: $1 + \log_{2} x$

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log2⁡(2x)A. 2B. 1+log2⁡xC. 1D. x

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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
$\log_{2} (2 x)$
A. 2
B. $1 + \log_{2} x$
C. 1
D. $x$