Log3 X= log3 2-4 log9 5

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To simplify this equation, we can use the properties of logarithms.

Convert log₉ 5 to base 3:
log₉ 5 = log₃ 5 / log₃ 9
log₉ 5 = log₃ 5 / 2

Substitute log₉ 5 into the equation:
log₃ X = log₃ 2 - 4 (log₃ 5 / 2)

Use the power rule of logarithms to simplify:
log₃ X = log₃ 2 - log₃ (5²)

Use the product rule to simplify the right side:
log₃ X = log₃ (2 / 25)

Now, we have:
X = 2 / 25

Therefore, X = 2/25.