Question

O valor da expressão log3 5. log125 27 é:
a) 2 b) 0 c) 1 d) –1 e) 3

Answer 1

$\log_3 5.\log_{125} 27=$ $\frac{\log5}{\log3}.\frac{\log27}{\log125}=$ $\frac{\log5.\log3^3}{\log3.\log5^3} =$ $\frac{(\log5).3.(\log3)}{(\log3).3.(\log5)} =1$