Approximate: log5 4/7–2.8760–0.34770.71241.3738

Answer:-0.34772Step-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 xlog     x = ------------      5          log 5so:                        log (4/7)        log 4 - log 7log     (4/7)  = --------------- = ---------------------      5                   log 5               log 5Note 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.)