Question

Usando a definição de logaritmo Calcule:Log¼16

Answer 1

Log¼ 16 = n

(1/4)ⁿ = 16

1/4ⁿ = 4²

4-ⁿ = 4²

-n = 2

n = -2 ✓

Answer 2

Resposta:

$log_{ \frac{1}{4} }(16) = x$

$log_{ {2}^{ - 2} }(16) = x$

$- \frac{1}{2} log_{2}(16) = x$

$- \frac{1}{2} log_{2}( {2}^{4} ) = x$

$- \frac{1}{2}.4. log_{2}(2) = x$

$x = - 2$