Question

log0,2 0,0016 me ajudem por favor ​

Answer 1

Explicação passo-a-passo:

$\sf log_{0,2}~(0,0016)=x$

$\sf (0,2)^x=0,0016$

$\sf \Big(\dfrac{2}{10}\Big)^x=\dfrac{16}{10000}$

$\sf \Big(\dfrac{1}{5}\Big)^x=\dfrac{1}{625}$

$\sf \Big(\dfrac{1}{5^1}\Big)^x=\dfrac{1}{5^4}$

$\sf (5^{-1})^x=5^{-4}$

$\sf 5^{-x}=5^{-4}$

Igualando os expoentes:

$\sf -x=-4~~~\cdot(-1)$

$\sf \red{x=4}$