Question

Approximate: log5 ^4/7

Answer 1

Answer: Option B ( -0.3477 )

Step-by-step explanation: Using Properties of Logs

logb(x/y) = logbx - logby.

Furthermore

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 (DESMOS): log 5 4 =0.8613531161

log 5 7 = log 7 / log 5

log 5 7 =1.2090619551

Therefore, The answer is, log5 (4/7)= log5 (4)- log5 (7)=-0.347708839

For the second part of the question just to not make this too long the answer to the second part is: C ( -2.3219 )

Answer 2

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

Explanation:

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