Question

log 1/2 (log 10 000)

Alguém sabe?

Answer 1

log 1/2 (log 10 000) = x

log 1/2 (log 10^[4]) = x

log 1/2 [4] = x

(1/2)^x = 4

2^-x = 2^2

-x = 2 ====> x= -2 ✓

Answer 2

log (10000)=n

10ⁿ=10000
10ⁿ=10⁴
n=4

$log_{ \frac{1}{2} }(4) = x$
${ (\frac{1}{2} })^{x} = 4$
${2}^{ - x} = {2}^{2}$
$x = - 2$
portanto a resposta é

$\boxed{ \mathsf{ log_{ \frac{1}{2} }( log(10000) )} = \mathsf{ - 2}}$