Question

Реши уравнение 2log3x+log3100−2=0
log3-в основании

Answer 1

$2 log_{3}x + log_{3}100 - 2 = 0 \ log_{3} {x}^{2} + log_{3}100 - log_{3}9 = 0 \ log_{3}( {x}^{2} times 100 div 9) = 0 \ {3}^{0} = 100{x}^{2} div 9 \ 9 = 100x ^{2} \ frac{9}{100} = {x}^{2} \ x = sqrt{ frac{9}{100} } = frac{3}{10} = 0.3$