log 25 36 = ? Options: A . &nbsp2log256 B . &nbsp12 log536 C . &nbsplog56 D . &nbspAll of these

Answer: Option D : D Let y = log 25 36 = log e 36 log e 25 = log e 6 2 log e 5 2 = 2 log e 6 2 log e 5 = log e 6 log e 5 = log 5 6 log 25 36 can be written as, log 5 2 6 2 = 2 log 5 2 6 or 1 2 log 5 6 2

log2536= ?

Question

{log}_{25} 36 =

Options:

A . 2log256

B . 12 log536

C . log56

D . All of these

Answer: Option D
:
D
Let y =

{log}_{25} 36

\frac{{log}_{e} 36}{{log}_{e} 25} = \frac{{log}_{e} 6^{2}}{{log}_{e} 5^{2}} = \frac{2 {log}_{e} 6}{2 {log}_{e} 5} = \frac{{log}_{e} 6}{{log}_{e} 5}

{log}_{5} 6

{log}_{25} 36

can be written as,

{log}_{5^{2}} 6^{2} = 2 {log}_{5^{2}} 6

\frac{1}{2} {log}_{5} 6^{2}

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