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.)
