Question

The range of the function f(x) = log_ax, a > 0 is __________ .

Answer 1

f(x) = log_a x ; a > 0
f(x) = $\frac{{\log }_{10}\left(x\right)}{{\log }_{10}\left(a\right)}$
Since a > 0 ⇒ f(x) is defined for R⁺ −{0}
∴ Range set of f(x) is R