en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((a+bx)e^4)

Solution

simplify

ln ((a + b x) e^{4})

Solution

ln (a + b x) + 4

Solution steps

ln ((a + b x) e^{4})

Apply log rule:

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

ln ((a + b x) e^{4}) = ln (a + b x) + ln (e^{4})

= ln (b x + a) + ln (e^{4})

Apply log rule:

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

ln (e^{4}) = 4 ln (e)

= ln (a + b x) + 4 ln (e)

4 ln (e) = 4

= ln (b x + a) + 4

Popular Examples

simplify ln(4)-ln(33)simplify

ln (4) - ln (33)

join 1/2 ln(sin(x-y)-cos(x-y))join

\frac{1}{2} ln (sin (x - y) - cos (x - y))

simplify 3.143+log_{10}((0.667)/(0.998))simplify

3.143 + lo g_{10} (\frac{0.667}{0.998})

simplify 3ln(x)+9ln(y)simplify

3 ln (x) + 9 ln (y)

simplify-4/8 ln(4/8)-4/8 ln(4/8)simplify

- \frac{4}{8} ln (\frac{4}{8}) - \frac{4}{8} ln (\frac{4}{8})

Frequently Asked Questions (FAQ)

What is ln((a+bx)e^4) ?
The solution to ln((a+bx)e^4) is ln(a+bx)+4