Question

simplify log(10÷10​^1/3)​

Answer 1

Answer:

1/3 is the answer right only

Answer 2

Answer:

2/3 is the answer

Step-by-step explanation:

2/3 is the answer of log(10/10^1/3)

$log( \frac{10}{ {10}^{ \frac{1}{3} } } ) \\ = \: \: log( {10}^{1 - \frac{1}{3} } ) \\ = \: log( {10}^{ \frac{3 - 1}{3} } ) \\ = \: log( {10}^{ \frac{2}{3} } ) \\ = \: log {10}^{ \frac{2}{3} } \\ = \: \frac{2}{3} \times log10 \\ = \: \frac{2}{3} \times 1 \\ = \: \frac{2}{3}$