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Write the exponential equation as a logarithmic equation. 2^-3=(1)/(8) Answer Attemptiout of 3 square

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Write the exponential equation as a logarithmic equation.
2^-3=(1)/(8)
Answer Attemptiout of 3
square

Write the exponential equation as a logarithmic equation. 2^-3=(1)/(8) Answer Attemptiout of 3 square

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Luciamaestro · Tutor durante 5 años
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\(\log_2(\frac {1}{8}) = -3\)

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## Step 1<br />The given equation is \(2^{-3}=\frac {1}{8}\). This is an exponential equation where the base is 2, the exponent is -3, and the result is \(\frac {1}{8}\).<br /><br />## Step 2<br />To convert this exponential equation into a logarithmic equation, we need to understand the definition of a logarithm. A logarithm is the power to which a number must be raised to get another number.<br /><br />## Step 3<br />In the given equation, the base is 2, the exponent is -3, and the result is \(\frac {1}{8}\). Therefore, the logarithmic form of this equation would be: "log base 2 of \(\frac {1}{8}\) equals -3".
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