Question

65536 = 4^n
How to find the value of n???
Please tell method to find n​

Answer 1

Answer:

keep dividing 65536 by and you get the value of n. n=8

Answer 2

$65536 = 4^{n}$

4 | 65536

___________

4 | 16384

___________

4 | 4096

___________

4 | 1024

___________

4 | 256

___________

4 | 64

___________

4 | 16

___________

**** 4

$\implies 4^{8} = 4^{n}$

$\implies 8 = n$

$\boxed { \pink { Since, If a^m = a^n \implies m = n }}$

Therefore.,

$\red { Value \:of \:n } \green { = 8 }$

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