Which of the following is equivalent to log840 rounded to three decimal places? 0.599 0.898 1.564 1.774

log8 (40) = log 10 (40)/ log 10 (8)

               =1.773976

to the nearest thousandth

   = 1.774

0.5637

Step-by-step explanation:

We'll use the change of base formula:

log to the base a of x = [log to the base 10 of x] / [log to the base 10 of a].

In this case, the base is a = 8 and x is 40.

Thus, log to the base 8 of 40 =

               log to the base 10 of 40

                  log to the base 10 of 8

and this comes out to:

                                               log 40      1.60206

log to the base 8 of 40 = = = 0.5637

                                                 log 8       0.90309