en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x)-ln(12-x)

Solution

simplify

ln (x) - ln (12 - x)

Solution

ln (\frac{x}{12 - x})

Solution steps

ln (x) - ln (12 - x)

Apply log rule:

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

ln (x) - ln (12 - x) = ln (\frac{x}{- x + 12})

= ln (\frac{x}{12 - x})

Popular Examples

simplify ln((x-sin(x))(x+sin(x)))simplify

ln ((x - sin (x)) (x + sin (x)))

simplify 0.057-(0.0592)/2 ln(1/(sqrt(0.21)))simplify

0.057 - \frac{0.0592}{2} ln (\frac{1}{0.21})

simplify-0.6*log_{2}(0.6)-(1-0.6)*log_{2}(1-0.6)simplify

- 0.6 \cdot lo g_{2} (0.6) - (1 - 0.6) \cdot lo g_{2} (1 - 0.6)

simplify log_{(0.25)/(450)}(-2log_{4.5}(x))simplify

lo g_{\frac{0.25}{450}} (- 2 lo g_{4.5} (x))

simplify-log_{10}(5.27*10^{-6})simplify

- lo g_{10} (5.27 \cdot 1 0^{- 6})

Frequently Asked Questions (FAQ)

What is ln(x)-ln(12-x) ?
The solution to ln(x)-ln(12-x) is ln(x/(12-x))