What is simplify-1/2 ln(1-2v)-ln(x) ?

The solution to simplify-1/2 ln(1-2v)-ln(x) is -ln((1-2v)^{1/2}x)

Popular >

simplify-1/2 ln(1-2v)-ln(x)

simplify

- \frac{1}{2} ln (1 - 2 v) - ln (x)

- ln ((1 - 2 v)^{\frac{1}{2}} x)

Solution steps

- \frac{1}{2} ln (1 - 2 v) - ln (x)

Apply log rule:

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

\frac{1}{2} ln (- 2 v + 1) = ln ((- 2 v + 1)^{\frac{1}{2}})

= - ln ((- 2 v + 1)^{\frac{1}{2}}) - ln (x)

Rewrite

- ln ((- 2 v + 1)^{\frac{1}{2}}) - ln (x)

- (ln ((- 2 v + 1)^{\frac{1}{2}}) + ln (x))

= - (ln ((- 2 v + 1)^{\frac{1}{2}}) + ln (x))

Apply log rule:

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

ln ((1 - 2 v)^{\frac{1}{2}}) + ln (x) = ln (x (- 2 v + 1)^{\frac{1}{2}})

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

2 ln (2 m)

lo g_{10} (z^{4} y \cdot x^{9})

2550 \cdot ln (\frac{2950000}{2950000 - 2200000})

ln (\frac{500}{250})

lo g_{3} (A^{4} B^{9})

What is simplify-1/2 ln(1-2v)-ln(x) ?
The solution to simplify-1/2 ln(1-2v)-ln(x) is -ln((1-2v)^{1/2}x)