What is join (38ln(9/10))/(ln(2)) ?

The solution to join (38ln(9/10))/(ln(2)) is (ln(\frac{9^{38})/(10^{38)})}{ln(2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

join (38ln(9/10))/(ln(2))

join

\frac{38 ln ( \frac{9}{10} )}{ln ( 2 )}

\frac{ln ( \frac{9 ^{38}}{1 0 ^{38}} )}{ln ( 2 )}

Decimal Notation

- 5.77611 \dots

Solution steps

\frac{38 ln ( \frac{9}{10} )}{ln ( 2 )}

Apply log rule:

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

38 ln (\frac{9}{10}) = ln ((\frac{9}{10})^{38})

= \frac{ln ( ( \frac{9}{10} ) ^{38} )}{ln ( 2 )}

(\frac{9}{10})^{38} = \frac{9 ^{38}}{1 0 ^{38}}

= \frac{ln ( \frac{9 ^{38}}{1 0 ^{38}} )}{ln ( 2 )}

ln (x \cdot e^{- x})

ln (\frac{x}{y ^{3}}) + ln (y^{2})

2 ln ∣ x - 1 ∣ - ln ∣ x + 2 ∣ + C

- lo g_{10} (2.1 \cdot 1 0^{- 53})

ln (1.6296 \cdot π)

What is join (38ln(9/10))/(ln(2)) ?
The solution to join (38ln(9/10))/(ln(2)) is (ln(\frac{9^{38})/(10^{38)})}{ln(2)}