What is simplify-ln(4.9)+2ln(5.9) ?

The solution to simplify-ln(4.9)+2ln(5.9) is ln(7.10408…)

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simplify-ln(4.9)+2ln(5.9)

simplify

- ln (4.9) + 2 ln (5.9)

ln (7.10408 \dots)

Decimal Notation

1.96066 \dots

Solution steps

- ln (4.9) + 2 ln (5.9)

Apply log rule:

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

2 ln (5.9) = ln (5. 9^{2})

= - ln (4.9) + ln (5. 9^{2})

Apply log rule:

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

ln (5. 9^{2}) - ln (4.9) = ln (\frac{5. 9 ^{2}}{4.9})

= ln (\frac{5. 9 ^{2}}{4.9})

\frac{5. 9 ^{2}}{4.9} = 7.10408 \dots

= ln (7.10408 \dots)

45 ln (2 cos (x^{2}))

ln (\frac{31.7}{22.8})

ln (e^{- x} cos^{2} (x)) - ln (x^{2} + x + 1)

ln (- 1.04 \cdot (- 2 + 0.06))

ln (2.8 \cdot \frac{( 12 - 1.8 )}{1.8 \cdot ( 12 - 2.8 )})

What is simplify-ln(4.9)+2ln(5.9) ?
The solution to simplify-ln(4.9)+2ln(5.9) is ln(7.10408…)