Question

Escreva usando logaritmos de base 10

a) log2 5
b) logx 2
c) log2 (x-1)
d) log(x-1)(x-3)

Answer 1

$a) log\ _2\ 5 = \frac{log\ _1_0\ 5}{log\ _1_0\ 2}\\\\ b)\ log\ _x\ 2 = \frac{log_1_0\ 2}{log_1_0\ x}\\\\ c) log_2\ (x-1) = \frac{log_1_0\ (x-1)}{log_1_0\ 2}\\\\ d)log_(_x_-_1_)\ (x-3)=\frac{log_1_0\ (x-3)}{log_1_0\ (x-1)}$