What is log_{5}(3x^8)+log_{5}(6x^9) ?

The solution to log_{5}(3x^8)+log_{5}(6x^9) is log_{5}(18x^{17})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{5}(3x^8)+log_{5}(6x^9)

simplify

lo g_{5} (3 x^{8}) + lo g_{5} (6 x^{9})

lo g_{5} (18 x^{17})

Solution steps

lo g_{5} (3 x^{8}) + lo g_{5} (6 x^{9})

Apply log rule:

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

lo g_{5} (3 x^{8}) + lo g_{5} (6 x^{9}) = lo g_{5} (3 x^{8} \cdot 6 x^{9})

= lo g_{5} (3 x^{8} \cdot 6 x^{9})

Simplify

3 x^{8} \cdot 6 x^{9} : 18 x^{17}

= lo g_{5} (18 x^{17})

4.2 ln (\frac{625}{49}) + 2.4

\frac{1}{4} [3 ln (x + 9) - ln (x) - ln (x^{2} - 36)]

lo g_{10} (\frac{x ^{2}}{2 z})

lo g_{b} (u^{8} v^{5})

lo g_{7} (\frac{7 x ^{5}}{y})

What is log_{5}(3x^8)+log_{5}(6x^9) ?
The solution to log_{5}(3x^8)+log_{5}(6x^9) is log_{5}(18x^{17})