8^5=2^x . How to find out x. 8^5 = 32768. is there a method to convert 32768 to power of 2?

Question

i searched on internet bu there was no answer

Answer 1

8⁵ = 8*8*8*8*8

    =(2*2*2)*(2*2*2)*(2*2*2)*(2*2*2)*(2*2*2)              [since 8 = 2*2*2]

    = 2¹⁵

 

  x=15

Answer 2

32,768

divide by 2 repeatedly

32,768/2=16,384

16,384/2=8192

8192/2=4096

4096/2=2048

2048/2=1024

1024/2=512

512/2=256

256/2=128

128/2=64

now you should know that 64=2^6 (8*8)

32,768=2^15

 

Answer 3

you should memorize the powers of 2.

 

2¹⁵ = 32,768