What is log_{9}(5)e^3+log_{9}(7)e^6 ?

The solution to log_{9}(5)e^3+log_{9}(7)e^6 is log_{9}(5^{e^3}*7)e^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{9}(5)e^3+log_{9}(7)e^6

simplify

lo g_{9} (5) e^{3} + lo g_{9} (7) e^{6}

lo g_{9} (5^{e^{3}} \cdot 7) e^{6}

Decimal Notation

6292.68705 \dots

Solution steps

lo g_{9} (5) e^{3} + lo g_{9} (7) e^{6}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

e^{3} lo g_{9} (5) = lo g_{9} (5^{e^{3}})

= lo g_{9} (5^{e^{3}}) + e^{6} lo g_{9} (7)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{9} (5^{e^{3}}) + lo g_{9} (7) = lo g_{9} (7 \cdot 5^{e^{3}})

= lo g_{9} (5^{e^{3}} \cdot 7) e^{6}

- lo g_{10} (3.98 \cdot 1 0^{- 3})

ln (2 e^{t a n (x)})

ln (e^{x} - 1) - ln (x)

ln (\frac{1}{a} e^{5 a})

- lo g_{10} (5.2 \cdot 1 0^{- 12})

What is log_{9}(5)e^3+log_{9}(7)e^6 ?
The solution to log_{9}(5)e^3+log_{9}(7)e^6 is log_{9}(5^{e^3}*7)e^6