Question

Escreva na forma de um único logarítimando e resolva: log ²64 - log ²4.

Answer 1

$\sf     log_{2}(64) - log_{2}(4 ) \\ \\ \\ \sf     log_{2}\Big(2 {}^{6} \Big) - log_{2}(4) \\ \\ \\ \sf     log_{2}\Big(2 {}^{6} \Big) - log_{2}\Big(2 {}^{2} \Big) \\ \\ \\ \sf     6 log_{2}(2) - log_{2}\Big(2 {}^{2} \Big) \\ \\ \\ \sf     6 \cdot1 - log_{2}\Big(2 {}^{2} \Big) \\ \\ \\ \sf     6 - log_{2}\Big(2 {}^{2} \Big) \\ \\ \\ \sf     6 - 2 log_{2}(2) \\ \\ \\ \sf     6 -2 \cdot1 \\ \\ \\ \sf     6 - 2 \\ \\ \\ \sf    {\color{red} 4}$

Att: Nerd1990