en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(z/t)+2ln(dz)

Solution

simplify

ln (\frac{z}{t}) + 2 ln (d z)

Solution

ln (\frac{z d z ^{2}}{t})

Solution steps

ln (\frac{z}{t}) + 2 ln (d z)

Apply log rule:

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

2 ln (d z) = ln (d z^{2})

= ln (\frac{z}{t}) + ln (d z^{2})

Apply log rule:

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

ln (\frac{z}{t}) + ln (d z^{2}) = ln (\frac{z}{t} d z^{2})

= ln (\frac{z}{t} d z^{2})

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= ln (\frac{z d z ^{2}}{t})

Popular Examples

simplify 3ln(x/((x-2)(x+2)))simplify

3 ln (\frac{x}{( x - 2 ) ( x + 2 )})

simplify log_{10}(1/(e^3))simplify

lo g_{10} (\frac{1}{e ^{3}})

simplify ln((23)/(1.3))simplify

ln (\frac{23}{1.3})

join-32+(15)/(2ln(2))join

- 32 + \frac{15}{2 ln ( 2 )}

simplify ln(3)-ln(z)+1 simplify

ln (3) - ln (z) + 1

Frequently Asked Questions (FAQ)

What is ln(z/t)+2ln(dz) ?
The solution to ln(z/t)+2ln(dz) is ln((zdz^2)/t)