en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.3*ln(x)-ln(x+3)

Solution

simplify

0.3 \cdot ln (x) - ln (x + 3)

Solution

ln (\frac{x ^{0.3}}{x + 3})

Solution steps

0.3 ln (x) - ln (x + 3)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.3 ln (x) = ln (x^{0.3})

= ln (x^{0.3}) - ln (x + 3)

Apply log rule:

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

ln (x^{0.3}) - ln (x + 3) = ln (\frac{x ^{0.3}}{x + 3})

= ln (\frac{x ^{0.3}}{x + 3})

Popular Examples

simplify-log_{10}(7.98*10^{-2})simplify

- lo g_{10} (7.98 \cdot 1 0^{- 2})

simplify ln(e^x)+ln(2)simplify

ln (e^{x}) + ln (2)

simplify 9*ln(-1155*3)simplify

9 \cdot ln (- 1155 \cdot 3)

simplify-log_{10}(5.9*10^{-7})simplify

- lo g_{10} (5.9 \cdot 1 0^{- 7})

simplify ln(125)+2ln(5)simplify

ln (125) + 2 ln (5)

Frequently Asked Questions (FAQ)

What is 0.3*ln(x)-ln(x+3) ?
The solution to 0.3*ln(x)-ln(x+3) is ln((x^{0.3})/(x+3))