Question

Algebra 2 help. with 4 & 5.

Answer 1

5.
log2 64 = t

64 = 2^t

64 = 2^6

therefore

t = 6 hours

Answer 2

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.

Answer 3

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..

Answer 4

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

Answer 5

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

Answer 6

use your calculator to find 10^1.6

Answer 7

this gives 39.81