What is (2.5*ln(2)+ln(3))*0.831 ?

The solution to (2.5*ln(2)+ln(3))*0.831 is ln(16.97056…)*0.831

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simplify (2.5ln(2)+ln(3))0.831

simplify

(2.5 \cdot ln (2) + ln (3)) \cdot 0.831

ln (16.97056 \dots) \cdot 0.831

Decimal Notation

2.35296 \dots

Solution steps

(2.5 ln (2) + ln (3)) \cdot 0.831

Apply log rule:

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

2.5 ln (2) = ln (2^{2.5})

= 0.831 (ln (3) + ln (2^{2.5}))

Apply log rule:

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

ln (2^{2.5}) + ln (3) = ln (3 \cdot 2^{2.5})

= 0.831 ln (3 \cdot 2^{2.5})

2^{2.5} \cdot 3 = 16.97056 \dots

= ln (16.97056 \dots) \cdot 0.831

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6 lo g_{b} (w) - \frac{1}{5} lo g_{b} (z) + 5 lo g_{b} (x)

- lo g_{10} (5.33 x 1 0^{3})

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What is (2.5*ln(2)+ln(3))*0.831 ?
The solution to (2.5*ln(2)+ln(3))*0.831 is ln(16.97056…)*0.831