What is (ln(25))/(ln(5^{-3))} ?

The solution to (ln(25))/(ln(5^{-3))} is -2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln(25))/(ln(5^{-3))}

simplify

\frac{ln ( 25 )}{ln ( 5 ^{- 3} )}

- \frac{2}{3}

Decimal Notation

- 0.66666 \dots

Solution steps

\frac{ln ( 25 )}{ln ( 5 ^{- 3} )}

Simplify

ln (5^{- 3}) : - 3 ln (5)

= \frac{ln ( 25 )}{- 3 ln ( 5 )}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{ln ( 25 )}{3 ln ( 5 )}

Simplify

ln (25) : 2 ln (5)

= - \frac{2 ln ( 5 )}{3 ln ( 5 )}

Cancel the common factor:

ln (5)

= - \frac{2}{3}

\frac{( \frac{3}{8} ) ^{7}}{( \frac{3}{8} ) ^{2}}

\frac{3 + 3}{2}

\frac{1}{s ^{2}} + \frac{1}{s}

\frac{x ^{2} + 2 x - 24}{x ^{2} - 9} \cdot \frac{x + 3}{x ^{2} - 16}

(\frac{20}{2})^{2}