Peters Luna
08/23/2024 · High School

Write the equation in its equivalent logarithmic form. \[ 2^{c}=221 \] What is the equivalent logarithmic form of the equation? \( \square \)

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To convert the equation \( 2^{c} = 221 \) into its equivalent logarithmic form, we use the definition of a logarithm. The general form is: \[ a^b = c \quad \text{is equivalent to} \quad \log_a(c) = b \] In this case, \( a = 2 \), \( b = c \), and \( c = 221 \). Therefore, the equivalent logarithmic form of the equation is: \[ \log_{2}(221) = c \] So, the answer is: \[ \log_{2}(221) = c \]

Quick Answer

\[ \log_{2}(221) = c \]
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