Respuesta :
The value of log61,296 is 4.
Value of log6 of 1,296 to be determine.
What is log?
Log is mathematical operator that is short term of logarithm. It is reciprocal of exponential function.
⇒Simplification
[tex]=log_61296\\[/tex]
Since [tex]6^4 =1296[/tex]
[tex]=log_66^4\\[/tex]
Now, as property of logarithm bringing 4 to the front.
[tex]=4log_66\\[/tex]
Here, log of 6 to the base 6 will give 1.
[tex]= 4(1)[/tex]
Thus, The value log61,296 of is 4.
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