What is 4.2ln(625/49)+2.4 ?

The solution to 4.2ln(625/49)+2.4 is 4.2(4ln(5)-2ln(7))+2.4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4.2ln(625/49)+2.4

simplify

4.2 ln (\frac{625}{49}) + 2.4

4.2 (4 ln (5) - 2 ln (7)) + 2.4

Decimal Notation

13.09291 \dots

Solution steps

4.2 ln (\frac{625}{49}) + 2.4

Apply log rule:

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

ln (\frac{625}{49}) = ln (625) - ln (49)

= 4.2 (ln (625) - ln (49)) + 2.4

4.2 (ln (625) - ln (49)) = 4.2 (4 ln (5) - 2 ln (7))

= 4.2 (4 ln (5) - 2 ln (7)) + 2.4

\frac{1}{4} [3 ln (x + 9) - ln (x) - ln (x^{2} - 36)]

lo g_{10} (\frac{x ^{2}}{2 z})

lo g_{b} (u^{8} v^{5})

lo g_{7} (\frac{7 x ^{5}}{y})

lo g_{3} (3 (5 x))

What is 4.2ln(625/49)+2.4 ?
The solution to 4.2ln(625/49)+2.4 is 4.2(4ln(5)-2ln(7))+2.4