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Please provide me detailed solution for this problem

Please provide me detailed solution for this problem

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Grade:12th Pass

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
a = Log[24](12) 

b = Log[36](24) 

c = Log[48](36) 


abc + 1 = { Log[24](12) * Log[36](24) * Log[48](36) } + 1 

abc + 1 = { [Ln(12)/Ln(24)] * [Ln(24)/Ln(36)] * [Ln(36)/Ln(48)] } + 1 

abc + 1 = { [Ln(12) * Ln(24) * Ln(36)] / [Ln(24) * Ln(36) * Ln(48)] } + 1 

abc + 1 = { [Ln(12)] / [Ln(48)] } + 1 

abc + 1 = [Ln(12) + Ln(48)] / Ln(48) → you know that: Ln(a) + Ln(b) = Ln(ab) 

abc + 1 = Ln(576) / Ln(48) 

abc + 1 = Log[48](576)

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