Evaluate the logarithm. Round your answer to the nearest thousandth. log_(2)(1234)~~

Understand the problem: Understand the problem. We need to find the value of the logarithm of 1234 with base 2, which is written as log₂(1234). This means we are looking for the power to which 2 must be raised to get 1234.Use calculator or properties: Use a calculator or logarithm properties to evaluate log₂(1234). Since 1234 is not a power of 2, and the logarithm does not simplify easily, we will use a calculator to find the approximate value of log₂(1234). Using a calculator, we find that log₂(1234) ≈ 10.935.Round to nearest thousandth: Round the result to the nearest thousandth. Rounding 10.935 to the nearest thousandth gives us 10.935, as there are no additional digits to consider for further rounding.

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Evaluate the logarithm.
Round your answer to the nearest thousandth.

log_(2)(1234)~~

Evaluate the logarithm. $\newline$ Round your answer to the nearest thousandth. $\newline$ $\log _{2}(1234) \approx$

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Algebra 1

Compare linear, exponential, and quadratic growth

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Q. Evaluate the logarithm.

\newline

Round your answer to the nearest thousandth.

\newline

\log _{2}(1234) \approx

Understand the problem: Understand the problem. $\newline$ We need to find the value of the logarithm of $1234$ with base $2$ , which is written as $\log_2(1234)$ . This means we are looking for the power to which $2$ must be raised to get $1234$ .
Use calculator or properties: Use a calculator or logarithm properties to evaluate $\log_2(1234)$ . Since $1234$ is not a power of $2$ , and the logarithm does not simplify easily, we will use a calculator to find the approximate value of $\log_2(1234)$ . Using a calculator, we find that $\log_2(1234) \approx 10.935$ .
Round to nearest thousandth: Round the result to the nearest thousandth. $\newline$ Rounding $10.935$ to the nearest thousandth gives us $10.935$ , as there are no additional digits to consider for further rounding.