What is ln((6.05+8.05)/(31.8)) ?

The solution to ln((6.05+8.05)/(31.8)) is ln(14.1)-ln(31.8)

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simplify ln((6.05+8.05)/(31.8))

simplify

ln (\frac{6.05 + 8.05}{31.8})

ln (14.1) - ln (31.8)

Decimal Notation

- 0.81329 \dots

Solution steps

ln (\frac{6.05 + 8.05}{31.8})

Apply log rule:

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

ln (\frac{6.05 + 8.05}{31.8}) = ln (6.05 + 8.05) - ln (31.8)

= ln (6.05 + 8.05) - ln (31.8)

Add the numbers:

6.05 + 8.05 = 14.1

= ln (14.1) - ln (31.8)

lo g_{9} (5) + lo g_{9} (7)

\frac{1}{3} lo g_{b} (x) + 5 lo g_{b} (y) - 2 lo g_{b} (x)

ln (\frac{9 + 61}{10})

lo g_{10} (100 a)

ln (3) \frac{1}{7}

What is ln((6.05+8.05)/(31.8)) ?
The solution to ln((6.05+8.05)/(31.8)) is ln(14.1)-ln(31.8)