Question

if: \\(\log(a) + \log(b) = 0\\) then \\(ab =?\\)

Explanation:

Step1: Apply logarithm product rule

$\log(a) + \log(b) = \log(ab)$

Step2: Set equal to given value

$\log(ab) = 0$

Step3: Convert to exponential form

Assuming base 10 logarithm: $ab = 10^0$

Step4: Simplify exponential term

$10^0 = 1$

Answer:

$ab = 1$