Question

Considerando log 2 = 0,30; log 3 = 0,48; log 5 = 0,70 e log 7 = 0,85, o valor do log ⁡63 é *

Answer 1

$\large\boxed{\begin{array}{l}\begin{array}{c|c}\rm63&\rm3\\\rm21&\rm3\\\rm7&\rm7\\\rm1\end{array}\\\rm 63=3^2\cdot7\\\rm \ell og63=\ell og3^2\cdot7\\\rm \ell og63=2\ell og3+\ell og7\\\rm \ell og63=2\cdot0,48+0,85\\\rm \ell og63=0,96+0,85\\\rm \ell og63=1,81\end{array}}$