What is log_{9}(4)-log_{9}(2)+2log_{9}(5) ?

The solution to log_{9}(4)-log_{9}(2)+2log_{9}(5) is log_{9}(50)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{9}(4)-log_{9}(2)+2log_{9}(5)

simplify

lo g_{9} (4) - lo g_{9} (2) + 2 lo g_{9} (5)

lo g_{9} (50)

Decimal Notation

1.78043 \dots

Solution steps

lo g_{9} (4) - lo g_{9} (2) + 2 lo g_{9} (5)

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

2 lo g_{9} (5) = lo g_{9} (5^{2})

= lo g_{9} (4) - lo g_{9} (2) + lo g_{9} (5^{2})

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{9} (4) - lo g_{9} (2) = lo g_{9} (\frac{4}{2})

= lo g_{9} (\frac{4}{2}) + lo g_{9} (5^{2})

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{9} (\frac{4}{2}) + lo g_{9} (5^{2}) = lo g_{9} (\frac{4}{2} \cdot 5^{2})

= lo g_{9} (\frac{4}{2} \cdot 5^{2})

\frac{4}{2} \cdot 5^{2} = 50

= lo g_{9} (50)

lo g_{9} (4) - lo g_{9} (5)

lo g_{10} (\frac{x + 2}{x - 3})

4 lo g_{b} (x) - 6 lo g_{b} (y^{5})

ln (\frac{2 x ^{2} y}{z ^{4}})

lo g_{3} (b) + lo g_{3} (b + 5)

What is log_{9}(4)-log_{9}(2)+2log_{9}(5) ?
The solution to log_{9}(4)-log_{9}(2)+2log_{9}(5) is log_{9}(50)