Предмет: Алгебра, автор: WheelDoc1

Помогите решить 12.8 Показательные уравнения.

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Ответы

Автор ответа: ronnie1471

0,81 = 81/100 = ( 9^2 ) / ( 10^2 ) = ( 3 / 10 )^2
( 0.81 )^(-2x) = ( 3 / 10 )^( -4x ) = ( 10 / 3 )^( 4x ) = ( sqrt(10) / 3 ) ^ 8x
Тогда равенство выполняется, когда степени равны.
3x^2 - 8x - 3 = 0
x1 = 3; x2 = - 1/3

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