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Logarithm and A...

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  • Question 1
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    The logarithm form of $$\displaystyle (81)^\frac{3}{4} = 27$$ is $$\log_{81} 27 = \displaystyle \frac{3}{m}$$. Then value of $$m$$ is equal to

  • Question 2
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    The logarithm form of $$10^{-3} = 0.001$$ is $$\log_{10} 0.001 = -m$$, then value of $$m$$ is 

  • Question 3
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    If $$\log_{10}(x - 10) = 1$$, then value of $$x$$ is

  • Question 4
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    If $$\displaystyle 64^{a}=\frac{1}{256^{b}}$$, then $$3a + 4b$$ equals:

  • Question 5
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    If $$x = 2$$ and $$y = 3$$, then find the value of $$\left[ \displaystyle\frac { 1 }{ x^{ x } } +\displaystyle\frac { 1 }{ y^{ y } }  \right] $$.

  • Question 6
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    If $$\log_4m\,=\,1.5$$, then the value of $$m$$ is equal to

  • Question 7
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    If $$ \log (a)^{3} + \log a$$ = $$m \log a$$, then value of $$m$$ is equal to

  • Question 8
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    The value of $$4(7^1.\, 7^{-1}.\, 7^{-1}.7^0)$$ is

  • Question 9
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    If $$ \dfrac{\log 81}{\log 27} = x$$, then the value of $$x$$ is equal to 

  • Question 10
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    If $$\displaystyle \sqrt{3^{n}}=81$$. Then n is equal to

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