What is simplify-ln(9)+ln(7)+ln(5)-ln(3) ?

The solution to simplify-ln(9)+ln(7)+ln(5)-ln(3) is ln(35/27)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln(9)+ln(7)+ln(5)-ln(3)

simplify

- ln (9) + ln (7) + ln (5) - ln (3)

ln (\frac{35}{27})

Decimal Notation

0.25951 \dots

Solution steps

- ln (9) + ln (7) + ln (5) - ln (3)

Apply log rule:

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

ln (7) - ln (9) = ln (\frac{7}{9})

= ln (\frac{7}{9}) + ln (5) - ln (3)

Apply log rule:

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

ln (\frac{7}{9}) + ln (5) = ln (5 \cdot \frac{7}{9})

= ln (5 \cdot \frac{7}{9}) - ln (3)

\frac{7}{9} \cdot 5 = \frac{35}{9}

= ln (\frac{35}{9}) - ln (3)

Apply log rule:

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

ln (\frac{35}{9}) - ln (3) = ln (\frac{\frac{35}{9}}{3})

= ln (\frac{\frac{35}{9}}{3})

\frac{\frac{35}{9}}{3} = \frac{35}{27}

= ln (\frac{35}{27})

- lo g_{10} (1.8 \cdot 1 0^{- 15})

\frac{100}{2 \cdot π \cdot 400} \cdot ln (\frac{4 + 2 \cdot 40 0 ^{2}}{25})

ln (2) - ln (5) - ln (1) + ln (4)

ln (\frac{1}{382})

ln (\frac{72}{129})

What is simplify-ln(9)+ln(7)+ln(5)-ln(3) ?
The solution to simplify-ln(9)+ln(7)+ln(5)-ln(3) is ln(35/27)