Algebra 2 help. with 4 & 5.

Question

anonymous · Answer

attachment

cwrw238 · Answer

5.
  log2  64 = t

64 = 2^t

64 = 2^6

therefore

t = 6 hours

cwrw238 · Answer

the log  of a given base of a  number  is the power  to which the base is taken to give that number.

in this case the base is 2  and 2^6 = 64   So log to base 2 of 64 = 6.

cwrw238 · Answer

I cant do do number 4 as I dont know exactly how the magnitude of an earthquake is defined.  If it were a simple proportional relationship the answer would be   6.7 / 5.1 but none of the options are close to that..

cwrw238 · Answer

I suppose logs are involved as all these questions  are about logs.

cwrw238 · Answer

yep - they are logs to the base 10 by the look of it 

so we have:

10^6.7 /   10 ^ 5.1  = 10^(6.7 - 5.1) = 10^1.6

cwrw238 · Answer

use your calculator to find 10^1.6

cwrw238 · Answer

this  gives   39.81