Question

Write the following in logarithmic form.
27⅔=9​

Answer 1

Step-by-step explanation:

$given \: \: \: {27}^{ \frac{2}{3} } = 9 \\ \\ lhs \: = {27}^{ \frac{2}{3} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ({ {27}^{ \frac{1}{3} } )}^{ 2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ({ \sqrt[3]{27} })^{2} \\ \: \: \: \: \: \: \: \: \: = ({3})^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 9 = rhs$