Question

log 2=x, calcule log 5

Answer 1

$log\,5~=~\\\\\\=~log\,\left(\frac{10}{2}\right)\\\\\\Utilizando~a~propriedade~do~logaritmo~do~quociente:\\\\\\=~log\,10~-~log\,2\\\\\\Sabemos~que~o~log\,10~vale~1,~logo~substituindo~o~valor~dado~de~log\,2:\\\\\\=~1~-~x\\\\\\\boxed{log\,5~=~1-x}$