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2 + Log₃ 2 = X

X - 2 = Log₃ 2

3^(X - 2) = 2

(X - 2) Log₁₀ 3 = Log₁₀ 2

X = 2 + Log 2 / Log 3

=====================

Log₃ 18 = Log₃ 9*2 = Log₃ 3² + Log₃ 2

= 2 + Log₁₀ 2 / Log₁₀ 3

============================

Log₃ 25 = Log₃ 5² = 2 Log₃ 5 = 2 Log 5 / Log 3

===================

4 - Log₆ 2 = 4 - 1 / Log₂ 6

= 4 - 1 / [ Log₂ 2 + Log₂ 3 ]

= 4 - 1 / [ 1 + Log 3 / Log 2]

= 4 - Log 2 / (Log 2 + Log 3 ) = 4 - Log 2 / Log 6

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log₆ 648 = log₆ (3* 6 * 6* 6)

= Log₆ 6³ +Log₆ 3

= 3 + 1 / Log₃ 6

= 3 + 1 / [Log₃ 3 + Log₃ 2]

= 3 + 1 / [ 1 + Log 2 / Log 3 ]

= 3 + Log 3 / ( Log 3 + log 2 ) = 3 + Log 3 / Log 6

============================

Log₆ 125 = Log₆ 5³ = 3 Log₆ 5 = 3 Log 5 / Log 6

X - 2 = Log₃ 2

3^(X - 2) = 2

(X - 2) Log₁₀ 3 = Log₁₀ 2

X = 2 + Log 2 / Log 3

=====================

Log₃ 18 = Log₃ 9*2 = Log₃ 3² + Log₃ 2

= 2 + Log₁₀ 2 / Log₁₀ 3

============================

Log₃ 25 = Log₃ 5² = 2 Log₃ 5 = 2 Log 5 / Log 3

===================

4 - Log₆ 2 = 4 - 1 / Log₂ 6

= 4 - 1 / [ Log₂ 2 + Log₂ 3 ]

= 4 - 1 / [ 1 + Log 3 / Log 2]

= 4 - Log 2 / (Log 2 + Log 3 ) = 4 - Log 2 / Log 6

=========================

log₆ 648 = log₆ (3* 6 * 6* 6)

= Log₆ 6³ +Log₆ 3

= 3 + 1 / Log₃ 6

= 3 + 1 / [Log₃ 3 + Log₃ 2]

= 3 + 1 / [ 1 + Log 2 / Log 3 ]

= 3 + Log 3 / ( Log 3 + log 2 ) = 3 + Log 3 / Log 6

============================

Log₆ 125 = Log₆ 5³ = 3 Log₆ 5 = 3 Log 5 / Log 6