Questions: log3(3^(1/2))=

Solution Steps

To solve the logarithm \(\log_{3}\left(3^{\frac{1}{2}}\right)\), we can use the property of logarithms that states \(\log_{b}(b^{x}) = x\). Here, \(b = 3\) and \(x = \frac{1}{2}\).

We need to find the value of \(\log_{3}\left(3^{\frac{1}{2}}\right)\). We can use the logarithmic property: \[ \log_{b}(b^{x}) = x \] Here, \(b = 3\) and \(x = \frac{1}{2}\).

Using the property, we substitute \(b\) and \(x\) into the equation: \[ \log_{3}\left(3^{\frac{1}{2}}\right) = \frac{1}{2} \]

Final Answer