What is ln(6)-ln(4)-ln(7)+ln(5) ?

The solution to ln(6)-ln(4)-ln(7)+ln(5) is ln(15/14)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(6)-ln(4)-ln(7)+ln(5)

simplify

ln (6) - ln (4) - ln (7) + ln (5)

ln (\frac{15}{14})

Decimal Notation

0.06899 \dots

Solution steps

ln (6) - ln (4) - ln (7) + ln (5)

Apply log rule:

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

ln (6) - ln (4) = ln (\frac{6}{4})

= ln (\frac{6}{4}) - ln (7) + ln (5)

Cancel the common factor:

2

= ln (\frac{3}{2}) - ln (7) + ln (5)

Apply log rule:

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

ln (\frac{3}{2}) - ln (7) = ln (\frac{\frac{3}{2}}{7})

= ln (\frac{\frac{3}{2}}{7}) + ln (5)

\frac{\frac{3}{2}}{7} = \frac{3}{14}

= ln (\frac{3}{14}) + ln (5)

Apply log rule:

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

ln (\frac{3}{14}) + ln (5) = ln (5 \cdot \frac{3}{14})

= ln (5 \cdot \frac{3}{14})

\frac{3}{14} \cdot 5 = \frac{15}{14}

= ln (\frac{15}{14})

ln (x^{2} + x) + I n e - ln (x + 1)

64 ln (2 e) - 19

- \frac{1}{30} ln (\frac{1}{2})

ln (y) - ln (2 - y)

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

What is ln(6)-ln(4)-ln(7)+ln(5) ?
The solution to ln(6)-ln(4)-ln(7)+ln(5) is ln(15/14)