Question

Approximate: log5 4/7

Answer 1

for the first question which would be Approximate: log5 4/7 the answer would be B. –0.3477

and for the second question which would be Approximate: log1/2 5 the answer would be C.–2.3219

 

Answer 2

   Properties of Logs

logb(x/y) = logbx - logby.

therefore

log5 (4/7)= log5 (4)- log5 (7)

Solve log 5 (4) and log 5 (7)  with the base change of the logarithm

log 5 4 = log 4 / log 5 

 Use the calculator: 

log 5 4 =0.8613531161

 log 5 7 = log 7 / log 5 

log 5 7 =1.2090619551

log5 (4/7)= log5 (4)- log5 (7)=-0.347708839