Mathematics

Eleven Standard

Test your understanding of this lesson Properties of logarithm:-

1)
The value of \(a^{\log_{a}{x^{m}}}\) (x>0) is
  • 1
  • \(x^{m}\)
  • mx
  • undefined
2)
\(m\log_{a}{a^{x}}=\)
  • m
  • mx
  • \(m^{x}\)
  • \(x^{m}\)
3)
\(\log_{a}{m}+\log_{a}{n}=\)
  • \(a^{m+n}\)
  • \(\log_{a}{(mn)}\)
  • \(\log_{a}{(m+n)}\)
  • \(a^{m}.a^{n}\)
4)
\(\log_{a}{a^{m}}=\)
  • m
  • \(a^{m}\)
  • \(a^{a^{m}}\)
  • \(m^{a}\)
5)
\(\log_{\sqrt{x}}{(0.25)}=4\) implies that x=
  • \(\frac{1}{4}\)
  • -4
  • \(\frac{1}{2}\)
  • -2

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