en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5ln(x^{1/2})+ln(9x)

Solution

simplify

5 ln (x^{\frac{1}{2}}) + ln (9 x)

Solution

ln (9 x^{\frac{7}{2}})

Solution steps

5 ln (x^{\frac{1}{2}}) + ln (9 x)

Apply log rule:

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

5 ln (x^{\frac{1}{2}}) = ln ((x^{\frac{1}{2}})^{5})

= ln ((x^{\frac{1}{2}})^{5}) + ln (9 x)

Apply log rule:

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

ln ((x^{\frac{1}{2}})^{5}) + ln (9 x) = ln (9 x (x^{\frac{1}{2}})^{5})

= ln (9 x (x^{\frac{1}{2}})^{5})

Simplify

(x^{\frac{1}{2}})^{5} \cdot 9 x : 9 x^{\frac{7}{2}}

= ln (9 x^{\frac{7}{2}})

Popular Examples

simplify ln(x/(y^2))simplify

ln (\frac{x}{y ^{2}})

simplify a+ln(bx)simplify

a + ln (b x)

simplify ln(xy^2z^3)simplify

ln (x y^{2} z^{3})

simplify 2ln(x-3)+ln(x+2)-6ln(x)simplify

2 ln (x - 3) + ln (x + 2) - 6 ln (x)

expand log_{3}(a^{10})expand

lo g_{3} (a^{10})

Frequently Asked Questions (FAQ)

What is 5ln(x^{1/2})+ln(9x) ?
The solution to 5ln(x^{1/2})+ln(9x) is ln(9x^{7/2})