Question

if it is given that x=lag7base3 ,y=log11base3 then express log77base3 in terms of x and y​

Answer 1

Given :

• x = log₃7 ⠀⠀______(1)
• y = log₃11 ⠀⠀______(2)

Need to :

• Express log₃77 in terms of x & y.

Solution :

• log₃77 can be written as :

➟ log₃ (7 × 11)

➟ log₃7 + log₃11⠀⠀[ logₐmn = logₐm + logₐn ]

➟ x + y⠀⠀⠀⠀⠀[ From (1) & (2) ]

Hence, log₃77 in terms of x & y can be expressed as (x + y).

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