What is ln((casqrt(a))/b) ?

The solution to ln((casqrt(a))/b) is ln(c)+ln(a)+ln(sqrt(a))-ln(b)

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simplify ln((casqrt(a))/b)

simplify

ln (\frac{c a a}{b})

ln (c) + ln (a) + ln (a) - ln (b)

Solution steps

ln (\frac{c a a}{b})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{c a a}{b}) = ln (c a a) - ln (b)

= ln (c a a) - ln (b)

Apply log rule:

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

ln (c a a) = ln (c) + ln (a) + ln (a)

= ln (c) + ln (a) + ln (a) - ln (b)

ln (1 - 1 - x^{2}) - ln (x)

ln (1) - ln (2) - ln (3)

ln (3 \cdot 1 5^{3})

- lo g_{10} (4.5 \cdot 1 0^{- 6})

4 (ln (z) + ln (z + 5)) - 4 ln (z - 4)

What is ln((casqrt(a))/b) ?
The solution to ln((casqrt(a))/b) is ln(c)+ln(a)+ln(sqrt(a))-ln(b)