Question

log7 7 +log 100 - log2 √2

Answer 1

$log_{7} 7 + log 100 + log _{2} \sqrt{2} \\ \\ log_{7} 7 + log 10^{2} + log _{2} 2^{ \frac{1}{2} } \\ \\ log_{7} 7 + 2.log 10 + \frac{1}{2} .log_{2} 2 \\ \\ 1 + 2.1+ \frac{1}{2} .1 = 1 + 2 + \frac{1}{2} = 3 + \frac{1}{2} = \frac{6+1}{2} = \frac{7}{2}$

Espero ter ajudado.