The range of the function f(x)

Question:

The range of the function f(x) = logaxa > 0 is _________

Solution:

f(x) = loga x ; a > 0

$f(x)=\frac{\log _{10}(x)}{\log _{10}(a)}$

Since a > 0 ⇒ f(x) is defined for R+ −{0} 

∴ Range set of  f(x) is R 

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