Which logarithmic equation is equivalent to this exponential equation?
$2,400=7,500(10)^{-x}$
A$x=\log \left(\frac{8}{25}\right)$
B$x=-\log \left(\frac{25}{8}\right)$
C$x=\log \left(-\frac{25}{8}\right)$
D$x=-\log \left(\frac{8}{25}\right)$
$2,400=7,500(10)^{-x}$
A$x=\log \left(\frac{8}{25}\right)$
B$x=-\log \left(\frac{25}{8}\right)$
C$x=\log \left(-\frac{25}{8}\right)$
D$x=-\log \left(\frac{8}{25}\right)$