Предмет: Алгебра, автор: kykyshka1615

помогите пожалуйста с решением этого примерапожалуйста
log8(5x+4)=1/3​

Simba2017: 5x+4=2;5x=-2;x=-0.4

Ответы

Автор ответа: OblivionFire
1

\log_{8}(5x + 4) = \dfrac{1}{3} .\\

ОДЗ: 5х+4>0 → 5х>-4 → х>-4/5.

5x + 4 = 8 {}^{ \frac{1}{3} } \\ 5x + 4 = (2 {}^{3} ) {}^{ \frac{1}{3} } \\ 5x + 4 = 2 \\ x = - \frac{2}{5} \\

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