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Convert Log Equation to Exponential (Numeric) Question Write the logarithmic equation as an exponential equation. log((1)/(10000))=-4 Answer Attemptiout of 2 square

Problemas

Convert Log Equation to Exponential (Numeric)
Question
Write the logarithmic equation as an exponential equation.
log((1)/(10000))=-4
Answer Attemptiout of 2
square

Convert Log Equation to Exponential (Numeric) Question Write the logarithmic equation as an exponential equation. log((1)/(10000))=-4 Answer Attemptiout of 2 square

Solución

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Walterélite · Tutor durante 8 años
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3.8 (180 votos)

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\(10^{-4} = \frac {1}{10000}\)

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## Step 1<br />The given equation is in logarithmic form: \(log(\frac {1}{10000})=-4\). The base of the logarithm is not specified, so we will assume it is 10 (common logarithm).<br /><br />## Step 2<br />To convert a logarithmic equation to an exponential equation, we use the definition of a logarithm. The definition of a logarithm states that if \(log_b(a) = c\), then \(b^c = a\).<br /><br />## Step 3<br />Applying this definition to our given equation, we get \(10^{-4} = \frac {1}{10000}\).
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