Question

Let us write by calculating find its base if logarithim 5832 is 6

Answer 1

Let x be the required base. 

Therefore, logx 5832 = 6 

or, x6 = 5832 = 36 ∙ 23 = 36 ∙ (√2)6 = (3 √2)6

Therefore, x = 3√2

Therefore, the required base is 3√2






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Answer 2

Let x be the required base

Therefore log x 5832=6

Or x6 =5832=3 power 6 .(√2)=(3√2) power 6

Therefore x=3√2

Therefore; the required base is 3√2