2 to what power gives you 129667 and please show work?

Question

please explain.....

Answer 1

2^x = 129667
Take the natural log of both sides.
ln(2^x) = ln(129667)
x ln(2) = ln(129667)
x = ln(129667)/ln(2)
Now use your calculator.
x = 16.984451837649

Answer 2

Take the logarithm to the base two of 129667. If your calculator doesn't have log-to-the-base-two key, then take the common log of 129667 and divide that by the common log of 2. That should be your answer.


1=======0
2=======1
4=======2
8
16
32
64
128
256
512
1024
2048
4096
8192
16384
32768
65536======16
131072=====17

So an irrational number between 16 and 17. according to Mr. Calculator, that's 16.9844.

Answer 3

129667 is an even number can not be any n such that 2^n = 129667

Answer 4

2^x = 129667
xln2 = ln129667
x = (ln(129667))/(ln2)

x = about 16.9844518... or about 16.98