en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/(x^{nt+n)})

Solution

simplify

ln (\frac{1}{x ^{n t + n}})

Solution

- ln (x) (n t + n)

Solution steps

ln (\frac{1}{x ^{n t + n}})

Apply log rule:

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

ln (\frac{1}{x ^{n t + n}}) = ln (1) - ln (x^{n t + n})

= ln (1) - ln (x^{n t + n})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{n t + n}) = (n t + n) ln (x)

= ln (1) - (n t + n) ln (x)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (x) (n t + n)

0 - (n t + n) ln (x) = - (n t + n) ln (x)

= - ln (x) (n t + n)

Popular Examples

simplify ln((10.08)/(0.01945))simplify

ln (\frac{10.08}{0.01945})

simplify ln(17)+8ln(2)simplify

ln (17) + 8 ln (2)

simplify cos(xy+yz)+ln((xy)/z)simplify

cos (x y + yz) + ln (\frac{x y}{z})

join 3ln(2)-(7ln(3))/4 join

3 ln (2) - \frac{7 ln ( 3 )}{4}

simplify 7log_{x}(y)+6log_{x}(z)simplify

7 lo g_{x} (y) + 6 lo g_{x} (z)

Frequently Asked Questions (FAQ)

What is ln(1/(x^{nt+n)}) ?
The solution to ln(1/(x^{nt+n)}) is -ln(x)(nt+n)