Logarithm - Aptitude MCQ Questions and Solutions with Explanations

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1.
Which of the following statements is not correct?

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2.
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

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3.
$${{\log \sqrt 8 } \over {\log 8}}$$  is equal to:

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4.
If log 27 = 1.431, then the value of log 9 is:

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5.
$${\text{If}}\,{\text{log}}\frac{a}{b} + {\text{log}}\frac{b}{a} = {\text{log}}(a + b),$$      then:

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6.
If $${\log _{10}}7 = a,$$   then $${\log _{10}}\left( {\frac{1}{{70}}} \right)$$   is equal to

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7.
If log10 2 = 0.3010, then log2 10 is equal to:

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8.
If log10 2 = 0.3010, the value of log10 80 is:

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9.
If $${\log _{10}}5 + {\log _{10}}\left( {5x + 1} \right)$$     = $${\log _{10}}$$ $$\left( {x + 5} \right)$$ $$\, + $$ $$1,$$ then x is equal to :

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10.
The value of $${\frac{1}{{{{\log }_3}60}} + }$$  $${\frac{1}{{{{\log }_4}60}} + }$$  $${\frac{1}{{{{\log }_5}60}}}$$   is :

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