What is expand 2log_{10}(5/4) ?

The solution to expand 2log_{10}(5/4) is 2(log_{10}(5)-2log_{10}(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 2log_{10}(5/4)

expand

2 lo g_{10} (\frac{5}{4})

2 (lo g_{10} (5) - 2 lo g_{10} (2))

Decimal Notation

0.19382 \dots

Solution steps

2 lo g_{10} (\frac{5}{4})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{5}{4}) = lo g_{10} (5) - lo g_{10} (4)

= 2 (lo g_{10} (5) - lo g_{10} (4))

lo g_{10} (4) = 2 lo g_{10} (2)

= 2 (lo g_{10} (5) - 2 lo g_{10} (2))

\frac{1}{2} ln (\frac{4 3 + 6}{3})

ln (\frac{1.1 \cdot 1 0 ^{6}}{1.2 \cdot 1 0 ^{3}})

- lo g_{10} (1.46 \cdot 1 0^{- 9})

ln (4 y)

\frac{1}{2} ln ∣ sec (x) ∣

What is expand 2log_{10}(5/4) ?
The solution to expand 2log_{10}(5/4) is 2(log_{10}(5)-2log_{10}(2))