What is the value of log(ab) in terms of log a and log b?
A
log a - log b
B
log a × log b
C
log a + log b
D
log a / log b
Correct Answer: Option C — log a + log b
Explanation:
log(ab) = log a + log b is the product rule of logarithms. The three fundamental log rules: log(ab)=log a+log b (product) log(a/b)=log a-log...
log(ab) = log a + log b is the product rule of logarithms. The three fundamental log rules: log(ab)=log a+log b (product) log(a/b)=log a-log b (quotient) log(aⁿ)=n×log a (power). These rules simplify complex logarithmic expressions and are heavily tested in competitive exam algebra.