en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(9/4)

Solution

expand

lo g_{10} (\frac{9}{4})

Solution

2 lo g_{10} (3) - 2 lo g_{10} (2)

+1

Decimal Notation

0.35218 \dots

Solution steps

lo g_{10} (\frac{9}{4})

Apply log rule:

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

lo g_{10} (\frac{9}{4}) = lo g_{10} (9) - lo g_{10} (4)

= lo g_{10} (9) - lo g_{10} (4)

lo g_{10} (9) = 2 lo g_{10} (3)

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

= 2 lo g_{10} (3) - 2 lo g_{10} (2)

Popular Examples

simplify-log_{10}(5.98*10^{-4})simplify

- lo g_{10} (5.98 \cdot 1 0^{- 4})

simplify-4+4log_{e}(3/(4e))simplify

- 4 + 4 lo g_{e} (\frac{3}{4 e})

simplify 10*log_{10}((4*10^{-7})/(10^{-12)})simplify

10 \cdot lo g_{10} (\frac{4 \cdot 1 0 ^{- 7}}{1 0 ^{- 12}})

simplify ln(x^4e^{4y})simplify

ln (x^{4} e^{4 y})

simplify 10log_{10}(x_{1})-10log_{10}(x_{0})simplify

10 lo g_{10} (x_{1}) - 10 lo g_{10} (x_{0})

Frequently Asked Questions (FAQ)

What is expand log_{10}(9/4) ?
The solution to expand log_{10}(9/4) is 2log_{10}(3)-2log_{10}(2)