CBSE Questions for Class 11 Commerce Applied Mathematics Logarithm And Antilogarithm Quiz 5 - MCQExams.com

If $$\log_{10}(x+5) = 1$$, then value of $$x$$ is equal to
  • $$3$$
  • $$4$$
  • $$5$$
  • $$6$$
Given log 6 and log 8, then the only logarithm that cannot be obtained without using the table is
  • $$\log  64$$
  • $$\log 21$$
  • $$\log \frac{8}{3}$$
  • $$\log 9$$
The value of $$\log_{2\sqrt{3}}1728$$ is equal to
  • $$3$$
  • $$4$$
  • $$5$$
  • $$6$$
If $$ \log_{10}4 = 0.6020$$, then the value of $$\log_{10}8$$ is equal to
  • $$0.803$$
  • $$0.853$$
  • $$0.903$$
  • $$0.953$$
The value of $$\log_{15}225^{225}$$ is equal to
  • $$15$$
  • $$225$$
  • $$375$$
  • $$450$$
Which of the following is not an equivalent statement for the exponential form $$a^{x} = N$$
  • $$x = \sqrt[a]{N}$$
  • $$\log_{a}N = x$$
  • $$a = \sqrt[x]{N}$$
  • $$\log_{x}N = a$$
If $$ 3^{\log_{4}{x}}=27$$, then $$x$$ is equal to
  • $$16$$
  • $$64$$
  • $$27$$
  • $$\log_2 16$$
The value of $$\log_418$$ is equal to
  • a rational number
  • an irrational number
  • a prime number
  • none of these
Evaluate the expression by using logarithm tables: $$ \dfrac{(17.42)^{2/{3}}\times 18.42}{\sqrt{126.37}}$$
  • $$11.01$$
  • $$12.01$$
  • $$13.01$$
  • $$14.01$$
The number $$\displaystyle N= 6 \log_{10}2+\log _{10}31 $$ lies between two successive integers whose  sum is equal to:
  • 5
  • 7
  • 9
  • 10
If $$\log_{5} x = y$$, then value of $$5^{5y}$$ is equal to
  • $$\dfrac{x}{5}$$
  • $$5x$$
  • $$\log_{x}5$$
  • $$x^{5}$$
If $$\log 3 = 0.477$$ and $$(1000)^x = 3$$, then the value of $$x$$ will be
  • $$0.159$$
  • $$0.62$$
  • $$0.162$$
  • $$0.59$$
Find the mantissa of the logarithm of the number $$0.002359$$.
  • $$3710$$
  • $$3718$$
  • $$3728$$
  • $$3742$$
If $$\displaystyle \log_{10} 8 = 0.90$$, then the value of $$\displaystyle \log_{10}0.125$$ is 
  • $$0.9$$
  • $$1$$
  • $$0$$
  • $$-0.9$$
If $$\displaystyle \frac {\log 81}{\log 27} = x$$ and $$x$$ is expressed as $$\displaystyle 1 \frac {1}{m}$$, then $$m$$ is equal to
  • $$2$$
  • $$1$$
  • $$0$$
  • $$3$$
If $$\displaystyle \frac {\log 128}{\log 32} = x$$, then the value of $$x$$ will be
  • $$\dfrac{5}{7}$$
  • $$\dfrac{7}{5}$$
  • $$\dfrac{8}{5}$$
  • $$\dfrac{5}{8}$$
If $$\displaystyle \log_x 2 = -1$$, then the value of $$x$$ is equal to 
  • $$2$$
  • $$\dfrac{1}{2}$$
  • $$-2$$
  • $$1$$
If $$\displaystyle \frac {\log 225}{\log 15} = \log x$$, then the value of $$x$$ is equal to
  • $$400$$
  • $$300$$
  • $$200$$
  • $$100$$
If $$\displaystyle \log_{10} 8 = 0.90$$ and $$\displaystyle \log \sqrt {32}$$ = $$\cfrac{m}{4}$$, then the value of $$m$$ is equal to 
  • $$43$$
  • $$8$$
  • $$3$$
  • $$6$$
The value of $$\displaystyle \log_{2} 0.125$$ is equal to
  • $$-3$$
  • $$3$$
  • $$-2$$
  • $$2$$
The value of $$\displaystyle \log (a)^3 \div \log a$$ is equal to
  • $$1$$
  • $$4$$
  • $$6$$
  • $$3$$
If  $$\log_{10} x = 2a$$ and $$\displaystyle \log_{10} y = \dfrac {b}{2}$$, then $$\displaystyle 10^{2b + 1}$$ in terms of $$y$$ is $$\displaystyle my^4$$. Then what is the value of $$m$$?
  • $$13$$
  • $$15$$
  • $$10$$
  • $$5$$
The value of $$\displaystyle \log_{3} 27$$ is equal to
  • $$3$$
  • $$9$$
  • $$16$$
  • $$25$$
The value of $$ \log_{5} 0.2$$ is equal to
  • $$-1$$
  • $$1$$
  • $$10$$
  • $$-10$$
The value of $$\displaystyle \log_{5} 625$$ is equal to
  • $$2$$
  • $$6$$
  • $$4$$
  • $$1$$
After simplication $$\displaystyle (243)^{-\frac {3}{5}}$$, then answer is $$\displaystyle \frac {1}{27}$$
State true or false:
  • True
  • False
If $$\displaystyle 2 \log y - \log x - 3 = 0$$ and $$x$$ = $$\dfrac {y^2}{m}$$, then the value of $$m$$ is equal to
  • $$4000$$
  • $$3000$$
  • $$2000$$
  • $$1000$$
State true or false.
Solution of $$\displaystyle a^{\tfrac {4}{3}} \div a^{-\tfrac {2}{3}}$$ is $$a^{2}$$.
  • True
  • False
The value of $$\log_{0.5}16$$ is equal to
  • $$-4$$
  • $$-1$$
  • $$-2$$
  • $$0$$
If $$\log_{16} 8$$ = $$\displaystyle \frac{m}{4}$$, then value of $$m$$ is equal to 
  • $$1$$
  • $$3$$
  • $$4$$
  • $$2$$
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