What is ln(900-9)-ln(8*300^2+7) ?

The solution to ln(900-9)-ln(8*300^2+7) is ln(891/720007)

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simplify ln(900-9)-ln(8*300^2+7)

simplify

ln (900 - 9) - ln (8 \cdot 30 0^{2} + 7)

ln (\frac{891}{720007})

Decimal Notation

- 6.69467 \dots

Solution steps

ln (900 - 9) - ln (8 \cdot 30 0^{2} + 7)

Apply log rule:

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

ln (900 - 9) - ln (30 0^{2} \cdot 8 + 7) = ln (\frac{900 - 9}{30 0 ^{2} \cdot 8 + 7})

= ln (\frac{900 - 9}{8 \cdot 30 0 ^{2} + 7})

\frac{900 - 9}{8 \cdot 30 0 ^{2} + 7} = \frac{891}{720007}

= ln (\frac{891}{720007})

- ln (\frac{0.01428}{40})

ln ∣ y + x ∣ - ln ∣ x ∣

lo g_{8} (\frac{x y}{d e})

lo g_{e} (\frac{4}{3}) - lo g_{e} (2)

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

What is ln(900-9)-ln(8*300^2+7) ?
The solution to ln(900-9)-ln(8*300^2+7) is ln(891/720007)