Question

Log 1/2 28-log 1/2 7

Answer 1

Log1/2(28/7)=log1/2 4

Answer 2

To simplify the expression log(1/2, 28) - log(1/2, 7), you can use the properties of logarithms, specifically the quotient rule for logarithms, which states:

log_b(a) - log_b(c) = log_b(a/c)

In your case, b = 1/2, a = 28, and c = 7. Using the quotient rule:

log(1/2, 28) - log(1/2, 7) = log(1/2, 28/7)

Now, you can calculate the value:

log(1/2, 28/7) ≈ 2.8074

So, log(1/2, 28) - log(1/2, 7) is approximately 2.8074.