Q.1
If $${\log _{10}}7 = a,$$   then $${\log _{10}}\left( {\frac{1}{{70}}} \right)$$   is equal to
Q.2
If log10 2 = 0.3010, then log2 10 is equal to:
Q.3
If log10 2 = 0.3010, the value of log10 80 is:
Q.4
The value of $${\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}}$$    is equal to -
Q.5
Determine the value of $${\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)$$   is = ?
Q.6
The value of $${\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)$$   is = ?
Q.7
If log 2 = 0.30103, the number of digits in 264 is:
Q.8
If $${\log _x}\left( {\frac{9}{{16}}} \right) = - \frac{1}{2},$$    then x is equal to:
Q.9
$${\frac{1}{{\left( {{{\log }_a}bc} \right) + 1}} + }$$   $${\frac{1}{{\left( {{{\log }_b}ca} \right) + 1}} + }$$   $${\frac{1}{{\left( {{{\log }_c}ab} \right) + 1}}}$$   is equal to -
Q.10
If $${\log _{10}}2 = a$$  and $${\log _{10}}3 = b,$$   then $${\log _5}12$$ = ?
Q.11
If $${\log _{10}}125 + {\log _{10}}8 = x,$$     then x is equal to -
Q.12
If $${\log _5}\left( {{x^2} + x} \right) - $$   $${\log _5}\left( {x + 1} \right)$$   = 2, then the value of x is -
Q.13
If $${\log _{10}}5 + {\log _{10}}\left( {5x + 1} \right)$$     = $${\log _{10}}$$ $$\left( {x + 5} \right)$$ $$\, + $$ $$1,$$ then x is equal to :
Q.14
The value of $${\frac{1}{{{{\log }_3}60}} + }$$  $${\frac{1}{{{{\log }_4}60}} + }$$  $${\frac{1}{{{{\log }_5}60}}}$$   is :
Q.15
The value of $$\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}$$   is equal to -
Q.16
If $${\log _2}\left[ {{{\log }_3}\left( {{{\log }_2}x} \right)} \right] = 1,$$     then x is equal to = ?
Q.17
What is the value of the following expression?
$$\log \left( {\frac{9}{{14}}} \right) - $$   $$\log \left( {\frac{{15}}{{16}}} \right) + $$   $$\log \left( {\frac{{35}}{{24}}} \right)$$
Q.18
What is the value of $${\left[ {{\text{lo}}{{\text{g}}_{10}}\left( {{\text{5lo}}{{\text{g}}_{10}}100} \right)\,} \right]^2}$$     = ?
Q.19
If $${\text{lo}}{{\text{g}}_8}{\text{p}} = 25$$   and $${\text{lo}}{{\text{g}}_2}{\text{q}} = 5,$$   then -
Q.20
If ax = by, then:
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