What is simplify-ln(k(t^2+h^2)) ?

The solution to simplify-ln(k(t^2+h^2)) is -ln(k)-ln(t^2+h^2)

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simplify-ln(k(t^2+h^2))

simplify

- ln (k (t^{2} + h^{2}))

- ln (k) - ln (t^{2} + h^{2})

Solution steps

- ln (k (t^{2} + h^{2}))

Apply log rule:

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

ln (k (t^{2} + h^{2})) = ln (k) + ln (t^{2} + h^{2})

= - (ln (k) + ln (t^{2} + h^{2}))

Distribute parentheses

= - (ln (k)) - (ln (t^{2} + h^{2}))

Apply minus-plus rules

+ (- a) = - a

= - ln (k) - ln (t^{2} + h^{2})

2 \cdot (ln (0.662) - ln (0.583))

ln (\frac{0.1016}{0.0508})

5 ln (x - 1) + 2 ln (x + 6)

\frac{1}{45} ln (\frac{2}{7})

What is simplify-ln(k(t^2+h^2)) ?
The solution to simplify-ln(k(t^2+h^2)) is -ln(k)-ln(t^2+h^2)