Question

$log_{0,04} 625$ me ajudaa aiii

Answer 1

Explicação passo-a-passo:

$\sf log_{0,04}~625=x$

$\sf 0,04^x=625$

$\sf \Big(\dfrac{4}{100}\Big)^x=625$

$\sf \Big(\dfrac{1}{25}\Big)^x=625$

$\sf \Big(\dfrac{1}{5^2}\Big)^x=625$

$\sf (5^{-2})^x=5^4$

$\sf 5^{-2x}=5^4$

Igualando os expoentes:

$\sf -2x=4~~~\cdot(-1)$

$\sf 2x=-4$

$\sf x=\dfrac{-4}{2}$

$\sf \red{x=-2}$