Question

log de 30.000 na base 500

Answer 1

$Log_{a}x = \frac{Log_{b}x}{Log_{b}a} \\ \\ Log_{500}30000 = \frac{Log30000}{Log500} \\ \\ \frac{Log3*10000}{Log5*100} = \frac{Log3+Log10^4}{Log5+Log10^2} \\ \\ = \frac{Log3+4Log10 }{Log5+2Log10}$