C-04-Q154mediumsingle_mcq

$\dfrac{\log_{10} \sqrt{27} + \log_{10} 8 - \log_{10} \sqrt{1000}}{\log_{10} 1.2} = ?$ (Example 10)

a $\dfrac{2}{3}$
b $\dfrac{3}{2}$
c $1$
d $2$

ব্যাখ্যা

The numerator simplifies to $\log_{10}\dfrac{\sqrt{27}\cdot 8}{\sqrt{1000}} = \log_{10}\dfrac{3\sqrt3 \cdot 8}{10\sqrt{10}}$ , which reduces to $\log_{10}(1.2)^{3/2}$ . Dividing by $\log_{10} 1.2$ leaves $\dfrac{3}{2}$ .

এই অধ্যায়ের আরও প্রশ্ন

C-04-Q155(Exercise 4.2 Q1)
C-04-Q156(Ex 4.2 Q1)
C-04-Q157(Ex 4.2 Q1)
C-04-Q158(Ex 4.2 Q1)
C-04-Q159Solve (Ex 4.2 Q2):
C-04-Q160Solve (Ex 4.2 Q2):
C-04-Q161Solve (Ex 4.2 Q2):
C-04-Q162(Ex 4.2 Q3)
C-04-Q163(telescoping)
C-04-Q164Given , , .

Exponents and Logarithms — সব প্রশ্ন দেখুন (240টি) →

$\dfrac{\log_{10} \sqrt{27} + \log_{10} 8 - \log_{10} \sqrt{1000}}{\log_{10} 1.2} = ?$ (Example 10)

\dfrac{2}{3}

\dfrac{3}{2}

1

2

log⁡1027+log⁡108−log⁡101000log⁡101.2=?\dfrac{\log_{10} \sqrt{27} + \log_{10} 8 - \log_{10} \sqrt{1000}}{\log_{10} 1.2} = ?log10​1.2log10​27​+log10​8−log10​1000​​=? (Example 10)

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

log⁡1027+log⁡108−log⁡101000log⁡101.2=?\dfrac{\log_{10} \sqrt{27} + \log_{10} 8 - \log_{10} \sqrt{1000}}{\log_{10} 1.2} = ?log10​1.2log10​27​+log10​8−log10​1000​​=? (Example 10)

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

$\dfrac{\log_{10} \sqrt{27} + \log_{10} 8 - \log_{10} \sqrt{1000}}{\log_{10} 1.2} = ?$ (Example 10)

$\dfrac{\log_{10} \sqrt{27} + \log_{10} 8 - \log_{10} \sqrt{1000}}{\log_{10} 1.2} = ?$ (Example 10)