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Convert Exponential Equation to Log (Numeric) Question Write the exponential equation as a logarithmic equation. 10^3=1000 Answer Attempt 2 out of square
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Elizabethélite · Tutor durante 8 años
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To convert the exponential equation \(10^3 = 1000\) to a logarithmic equation, we need to identify the base, the exponent, and the result.<br /><br />In the exponential equation \(10^3 = 1000\):<br />- The base is \(10\).<br />- The exponent is \(3\).<br />- The result is \(1000\).<br /><br />The corresponding logarithmic equation will have the form:<br />\[ \log_{\text{base}}(\text{result}) = \text{exponent} \]<br /><br />So, for the given exponential equation \(10^3 = 1000\), the logarithmic form is:<br />\[ \log_{10}(1000) = 3 \]<br /><br />Therefore, the exponential equation \(10^3 = 1000\) can be written as the logarithmic equation:<br />\[ \log_{10}(1000) = 3 \]
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