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write the equation in exponential form.
log11(1331)=3 is equivalent to
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Step1: Recall the logarithmic - exponential conversion formula
The formula is \(y = \log_{a}x\) is equivalent to \(a^{y}=x\), where \(a\) is the base of the logarithm (\(a>0,a
eq1\)), \(y\) is the value of the logarithm, and \(x\) is the argument of the logarithm.
In the given equation \(\log_{11}(1331)=3\), we have \(a = 11\), \(y = 3\), and \(x = 1331\).
Step2: Apply the conversion formula
Substitute \(a = 11\), \(y = 3\), and \(x = 1331\) into the formula \(a^{y}=x\).
We get \(11^{3}=1331\).
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\(11^{3}=1331\)