Question

Resolva as equações;
a) logx 25 = 2
b) logx 27 = 3
c) log2x 4 = 2

Answer 1

$a) log_x 25 = 2\to 25=x^2\to 5^2=x^2\to x=5\\\\ \\\\b) log_x 27 =3\to 27=x^3\to 3^3=x^3\to x=3\\\\\\\\ c) log_{2x} 4 =2\to 2x^2=4\to 2x^2=2^2\to x=1$

Answer 2

a) $log\ _x\ 25 = 2\\\\ x^2 = 25\\\\ x^2 = 5^2\\\\ \boxed{x=5}$

b) $log\ _x\ 27 = 3\\\\ x^3=27\\\\ x^3 = 3^3\\\\ \boxed{x=3}$

c) $log\ _2_x\ 4 = 2\\\\ 2x^2 = 4\\\\ 2x^2 = 2^2\\\\ \boxed{x=1}$