en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{6}(36x^7)

Solution

expand

lo g_{6} (36 x^{7})

Solution

2 + 7 lo g_{6} (x)

Solution steps

lo g_{6} (36 x^{7})

Apply log rule:

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

lo g_{6} (36 x^{7}) = lo g_{6} (36) + lo g_{6} (x^{7})

= lo g_{6} (36) + lo g_{6} (x^{7})

Apply log rule:

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

lo g_{6} (x^{7}) = 7 lo g_{6} (x)

= lo g_{6} (36) + 7 lo g_{6} (x)

lo g_{6} (36) = 2

= 2 + 7 lo g_{6} (x)

Popular Examples

simplify log_{3}(a)+log_{3}(a+6)simplify

lo g_{3} (a) + lo g_{3} (a + 6)

simplify log_{3}(a)+log_{3}(a+9)simplify

lo g_{3} (a) + lo g_{3} (a + 9)

simplify ln(x^6sqrt(6-x))simplify

ln (x^{6} 6 - x)

simplify log_{2}(1/4 mn^3)simplify

lo g_{2} (\frac{1}{4} m n^{3})

simplify log_{4}(x^3y^5)simplify

lo g_{4} (x^{3} y^{5})

Frequently Asked Questions (FAQ)

What is expand log_{6}(36x^7) ?
The solution to expand log_{6}(36x^7) is 2+7log_{6}(x)