To simplify this equation, we can use the properties of logarithms.
Convert log₉ 5 to base 3log₉ 5 = log₃ 5 / log₃ log₉ 5 = log₃ 5 / 2
Substitute log₉ 5 into the equationlog₃ X = log₃ 2 - 4 (log₃ 5 / 2)
Use the power rule of logarithms to simplifylog₃ X = log₃ 2 - log₃ (5²)
Use the product rule to simplify the right sidelog₃ X = log₃ (2 / 25)
Now, we haveX = 2 / 25
Therefore, X = 2/25.
To simplify this equation, we can use the properties of logarithms.
Convert log₉ 5 to base 3
log₉ 5 = log₃ 5 / log₃
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.