What is simplify-ln(v-1)-ln(x)-ln(C) ?

The solution to simplify-ln(v-1)-ln(x)-ln(C) is -ln((v-1)xC)

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simplify-ln(v-1)-ln(x)-ln(C)

simplify

- ln (v - 1) - ln (x) - ln (C)

- ln ((v - 1) x C)

Solution steps

- ln (v - 1) - ln (x) - ln (C)

Rewrite

- ln (v - 1) - ln (x)

- (ln (v - 1) + ln (x))

= - (ln (v - 1) + ln (x)) - ln (C)

Apply log rule:

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

ln (v - 1) + ln (x) = ln (x (v - 1))

= - ln ((v - 1) x) - ln (C)

Rewrite

- ln (x (v - 1)) - ln (C)

- (ln (x (v - 1)) + ln (C))

= - (ln (C) + ln (x (v - 1)))

Apply log rule:

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

ln (x (v - 1)) + ln (C) = ln (C x (v - 1))

= - ln ((v - 1) x C)

ln (\frac{293}{70 + 273})

ln (0.4906) - ln (- 0.05)

9 lo g_{10} (7) - 5 lo g_{10} (23)

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

ln (\frac{x ^{5}}{y ^{6}})

What is simplify-ln(v-1)-ln(x)-ln(C) ?
The solution to simplify-ln(v-1)-ln(x)-ln(C) is -ln((v-1)xC)