Question

решите пожалуйста уравнение 2 log5 x + log25 x - log125 x = - 4 13

Answer 1

$2*log_{5}x+ log_{25}x- log_{125} x=- frac{41}{3} 2*log_{5}x+ log_{ 5^{2} }x- log_{ 5^{3} } x=- frac{41}{3} 2*log_{5}x+ frac{1}{2} *log_{ 5 }x- frac{1}{3} *log_{ 5 } x=- frac{41}{3}$
(2+1/2-1/3)*log₅x=-41/3
log₅x=(-41/3):(13/6)
log₅x=-41/13
x=5⁻⁴¹/¹³
x=1/(¹³√5⁴¹)