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

The solution to log_{4}(2)+2log_{4}(9) is log_{4}(162)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

lo g_{4} (162)

Decimal Notation

3.66992 \dots

Solution steps

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

Apply log rule:

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

2 lo g_{4} (9) = lo g_{4} (9^{2})

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

Apply log rule:

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

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

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

2 \cdot 9^{2} = 162

= lo g_{4} (162)

\frac{1}{5} [lo g_{4} (x) + lo g_{4} (3)] - [lo g_{4} (y)]

ln (x) + ln (x - 2)

lo g_{b} (\frac{x y}{z})

lo g_{4} (\frac{3}{x})

lo g_{10} (3 x^{3})

What is log_{4}(2)+2log_{4}(9) ?
The solution to log_{4}(2)+2log_{4}(9) is log_{4}(162)