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Kovalevakristi
@Kovalevakristi
July 2022
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помогите пожалуйста решить log₅x=(log₃125)·log₅3+log₂0,5
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nKrynka
Решение
log₅x=(log₃125)·log₅3+log₂0,5
log₅x = (log₃5
³
) * log₅3 + log₂ 2
⁻¹
log₅x = 3*(log₃5 * log₅3) - log₂ 2
log₅x = 3 - 1
log₅ x = 2
x = 5²
x = 25
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Answers & Comments
log₅x=(log₃125)·log₅3+log₂0,5
log₅x = (log₃5³) * log₅3 + log₂ 2⁻¹
log₅x = 3*(log₃5 * log₅3) - log₂ 2
log₅x = 3 - 1
log₅ x = 2
x = 5²
x = 25