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Find the roots of the equation using the Quadratic Formula
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$\log_{3}\left(27\right)z=0$
Learn how to solve equations problems step by step online. Find the roots of log3(27)z. Find the roots of the equation using the Quadratic Formula. Express the numbers in the equation as logarithms of base 3. Any expression (except 0 and \infty) to the power of 0 is equal to 1. Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base.