What is simplify-ln(ksqrt(CACB)) ?

The solution to simplify-ln(ksqrt(CACB)) is -ln(k)-ln(sqrt(C^2)sqrt(AB))

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simplify-ln(ksqrt(CACB))

simplify

- ln (k C A CB)

- ln (k) - ln (C^{2} A B)

Solution steps

- ln (k C A CB)

Apply log rule:

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

ln (k C A CB) = ln (k) + ln (C A CB)

= - (ln (k) + ln (CC A B))

C A CB = C^{2} A B

= - (ln (k) + ln (C^{2} A B))

Distribute parentheses

= - (ln (k)) - (ln (C^{2} A B))

Apply minus-plus rules

+ (- a) = - a

= - ln (k) - ln (C^{2} A B)

lo g_{7} (y x)

ln (\frac{x + 2}{x - 4})

lo g_{10} (\frac{x ^{2} y}{z ^{3}})

lo g_{10} (18) - lo g_{10} (27) - lo g_{10} (2)

lo g_{6} (\frac{x ^{4}}{y ^{7}})

What is simplify-ln(ksqrt(CACB)) ?
The solution to simplify-ln(ksqrt(CACB)) is -ln(k)-ln(sqrt(C^2)sqrt(AB))