Question

Approximate: log5 4/7 -2.8760 -0.3477 0.7124 1.3738

Answer 1

Answer:

-0.34772

Step-by-step explanation:

One way of doing this problem is to change the base from 5 to 10.

Use the change of base formula:

                 log x

log     x = ------------

     5          log 5

so:

                       log (4/7)        log 4 - log 7

log     (4/7)  = --------------- = ---------------------

     5                   log 5               log 5

Note that "log x" above is the common logarithm of x and is to the base 10.

Continuing, we get:

0.60206 - 0.84510         -0.24304

---------------------------- = --------------------- = -0.34772       (This corresponds to

        0.69897                    0.69897                              the second given

                                                                                        answer choice.)

Answer 2

-031 hope that helps