Question

Log base a of b times log base b of a is equal to:
a) 1
b) 0
c) a+b
d) ab

Answer 1

The expression log base a of b times log base b of a simplifies to 1.

Step-by-step explanation:

The given expression is logab * logba. To simplify this expression, we can use the property that logab = 1 / logba. Therefore, the expression becomes:

(1 / logba) * logba

The logba in the numerator and the denominator cancel each other out, resulting in:

1

Therefore, the answer is a) 1.