What is (ln(0.5)-ln(0.15))/(ln(2)) ?

The solution to (ln(0.5)-ln(0.15))/(ln(2)) is (ln(3.33333…))/(ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (ln(0.5)-ln(0.15))/(ln(2))

simplify

\frac{ln ( 0.5 ) - ln ( 0.15 )}{ln ( 2 )}

\frac{ln ( 3.33333 \dots )}{ln ( 2 )}

Decimal Notation

1.73696 \dots

Solution steps

\frac{ln ( 0.5 ) - ln ( 0.15 )}{ln ( 2 )}

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (0.5) - ln (0.15) = ln (\frac{0.5}{0.15})

= \frac{ln ( \frac{0.5}{0.15} )}{ln ( 2 )}

Divide the numbers:

\frac{0.5}{0.15} = 3.33333 \dots

= \frac{ln ( 3.33333 \dots )}{ln ( 2 )}

ln (125 e^{x})

\frac{ln ( 0.17 ) + ln ( 0.19 )}{2}

- lo g_{10} (1.90691 \cdot 1 0^{- 6})

- \frac{1}{2} ln (\frac{1}{2}) + \frac{1}{2}

ln (\frac{3}{4055})

What is (ln(0.5)-ln(0.15))/(ln(2)) ?
The solution to (ln(0.5)-ln(0.15))/(ln(2)) is (ln(3.33333…))/(ln(2))