The product, _a b _b a is equal to:

a^x=b b^y=a a^x^y=a xy=1 _a b_b a=1 As a result, the answer should be 1.

smc

algebra senior

Problem

The product,

lo g_{a} b \cdot lo g_{b} a

is equal to:

(A)

1

(B)

a

(C)

b

(D)

ab

Solution

a^{x} = b

b^{y} = a

a^{x}^{y} = a

x y = 1

lo g_{a} b lo g_{b} a = 1

As a result, the answer should be

1

Final answer