en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(8x^{ln(8x)})

Solution

simplify

ln (8 x^{l n (8 x)})

Solution

3 ln (2) + ln (8 x) ln (x)

Solution steps

ln (8 x^{l n (8 x)})

Apply log rule:

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

ln (8 x^{l n (8 x)}) = ln (8) + ln (x^{l n (8 x)})

= ln (8) + ln (x^{l n (8 x)})

Apply log rule:

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

ln (x^{l n (8 x)}) = ln (8 x) ln (x)

= ln (8) + ln (8 x) ln (x)

ln (8) = 3 ln (2)

= 3 ln (2) + ln (8 x) ln (x)

Popular Examples

simplify log_{2}(4/(sqrt(x+2)))simplify

lo g_{2} (\frac{4}{x + 2})

simplify 5log_{7}(u)+log_{7}(v)simplify

5 lo g_{7} (u) + lo g_{7} (v)

simplify-ln(4)-ln(3)simplify

- ln (4) - ln (3)

simplify ln(6)-ln(7)simplify

ln (6) - ln (7)

simplify ln((7.5)/(15))simplify

ln (\frac{7.5}{15})

Frequently Asked Questions (FAQ)

What is ln(8x^{ln(8x)}) ?
The solution to ln(8x^{ln(8x)}) is 3ln(2)+ln(8x)ln(x)