en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(x)+7ln(z)

Solution

simplify

2 ln (x) + 7 ln (z)

Solution

ln (x^{2} z^{7})

Solution steps

2 ln (x) + 7 ln (z)

Apply log rule:

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

2 ln (x) = ln (x^{2})

= ln (x^{2}) + 7 ln (z)

Apply log rule:

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

7 ln (z) = ln (z^{7})

= ln (x^{2}) + ln (z^{7})

Apply log rule:

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

ln (x^{2}) + ln (z^{7}) = ln (x^{2} z^{7})

= ln (x^{2} z^{7})

Popular Examples

simplify ln((e^8)/(11))simplify

ln (\frac{e ^{8}}{11})

simplify ln(3/13)simplify

ln (\frac{3}{13})

simplify ln((e^8)/(12))simplify

ln (\frac{e ^{8}}{12})

simplify ln(e/((2pis^2)^{1/2)})simplify

ln (\frac{e}{( 2 π s ^{2} ) ^{\frac{1}{2}}})

simplify-log_{10}(2*8.9*10^{-2})simplify

- lo g_{10} (2 \cdot 8.9 \cdot 1 0^{- 2})

Frequently Asked Questions (FAQ)

What is 2ln(x)+7ln(z) ?
The solution to 2ln(x)+7ln(z) is ln(x^2z^7)