Calculate: ${\log }_2{\log }_{\sqrt{2}}{\log }_3\left(81\right)$

Important Questions on Logarithm

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 2

Compute $x$ if ${\log }_x\left(0.3\right)=3$

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 2

If $x={\log }_a\left(bc\right), y={\log }_b\left(ca\right), z={\log }_c\left(ab\right)$, then find $\frac{1}{x+1}+\frac{1}{y+1}+\frac{1}{z+1}$.

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 2

Calculate: $5^{\left(2-{\log }_{5}2\right)}$

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 2

If $a={\log }_{3}5, b={\log }_{17}25$, then show that $a>b$.

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 2

If ${\log }_{10}2=0.3010$ determine the value of ${\log }_4\left(125\right)$.

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 3

Find the value of ${\log }_2\sqrt[4]{64\sqrt[3]{4^{-1}(8{)}^{-\frac{4}{3}}}}$.

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 3

Find the value of ${\log }_5\sqrt{5\sqrt{5\sqrt{5\cdots \cdots \cdots \cdots \infty }}}$.

MEDIUM

9th West Bengal Board

IMPORTANT

MATHEMATICS CLASS 9>Chapter 9 - Logarithm>EXERCISE-7>Q 3

Find the value of ${\log }_3\left(\sqrt{6}\right)+{\log }_3\left(\sqrt{\frac{2}{3}}\right)-{\log }_3{\log }_3\left(9\right)$.