Пошаговое объяснение:
1 ). lgx + lg2 = 1 ; ( x > 0 ) ;
lg( 2x ) = lg10 ;
2x = 10 ;
x = 5 > 0 . В - дь : х = 5 .
2 ) ( log ₅ 27 )/( log ₅ 9 ) = [ log ₅ ( 3³ )] / [ log ₅ (3² )] = (3log₅3)/(2log₅3) =
= 3/2 = 1,5 ;
3 ) 15^( 2log ₁₅ 3 ) = [ 15^( log ₁₅ 3 ) ]² = 3² = 9 .
Пошаговое объяснение:
1 ). lgx + lg2 = 1 ; ( x > 0 ) ;
lg( 2x ) = lg10 ;
2x = 10 ;
x = 5 > 0 . В - дь : х = 5 .
2 ) ( log ₅ 27 )/( log ₅ 9 ) = [ log ₅ ( 3³ )] / [ log ₅ (3² )] = (3log₅3)/(2log₅3) =
= 3/2 = 1,5 ;
3 ) 15^( 2log ₁₅ 3 ) = [ 15^( log ₁₅ 3 ) ]² = 3² = 9 .