What is simplify-ln((28e^9)/9) ?

The solution to simplify-ln((28e^9)/9) is -ln(28e^9)+2ln(3)

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simplify-ln((28e^9)/9)

simplify

- ln (\frac{28 e ^{9}}{9})

- ln (28 e^{9}) + 2 ln (3)

Decimal Notation

- 10.13497 \dots

Solution steps

- ln (\frac{28 e ^{9}}{9})

Apply log rule:

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

ln (\frac{28 e ^{9}}{9}) = ln (28 e^{9}) - ln (9)

= - (ln (28 e^{9}) - ln (9))

ln (9) = 2 ln (3)

= - (ln (28 e^{9}) - 2 ln (3))

Distribute parentheses

= - (ln (28 e^{9})) - (- 2 ln (3))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (28 e^{9}) + 2 ln (3)

ln (\frac{b + ( 1 - t ) s}{2})

4 lo g_{10} (x) - 3 lo g_{10} (x + 1)

lo g_{b} (b^{3}) - lo g_{b} (b)

- lo g_{10} (3.1 \cdot 1 0^{- 4})

What is simplify-ln((28e^9)/9) ?
The solution to simplify-ln((28e^9)/9) is -ln(28e^9)+2ln(3)