Найдите корень уравнения

Question

Найдите корень уравнения

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Answer 1

3ˣ + 2ˣ * 1/2 = 24

log₆ 3ˣ + 1/2 * log₆ 2ˣ = log₆24

x log₆3 + 1/2x * log₆2 = log₆24

x ( log₆3 + 1/2log₆2) = log₆24

x ( log₆3√2) = log₆24

x = log₆24 / log₆3√2  = log3√2 ( 24)