What is simplify-ln(2.8)+2ln(7.8) ?

The solution to simplify-ln(2.8)+2ln(7.8) is ln(21.72857…)

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simplify-ln(2.8)+2ln(7.8)

simplify

- ln (2.8) + 2 ln (7.8)

ln (21.72857 \dots)

Decimal Notation

3.07862 \dots

Solution steps

- ln (2.8) + 2 ln (7.8)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (7.8) = ln (7. 8^{2})

= - ln (2.8) + ln (7. 8^{2})

Apply log rule:

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

ln (7. 8^{2}) - ln (2.8) = ln (\frac{7. 8 ^{2}}{2.8})

= ln (\frac{7. 8 ^{2}}{2.8})

\frac{7. 8 ^{2}}{2.8} = 21.72857 \dots

= ln (21.72857 \dots)

\frac{1}{2} ln ∣ 2 x + 1 ∣ + 2 ln ∣ x - 1 ∣

- ln (9) + ln (7) + ln (5) - ln (3)

- lo g_{10} (1.8 \cdot 1 0^{- 15})

\frac{100}{2 \cdot π \cdot 400} \cdot ln (\frac{4 + 2 \cdot 40 0 ^{2}}{25})

ln (2) - ln (5) - ln (1) + ln (4)

What is simplify-ln(2.8)+2ln(7.8) ?
The solution to simplify-ln(2.8)+2ln(7.8) is ln(21.72857…)