What is ln(0.42)+ln(0.37)+ln(0.64)+ln(0.55) ?

The solution to ln(0.42)+ln(0.37)+ln(0.64)+ln(0.55) is ln(0.0547008)

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simplify ln(0.42)+ln(0.37)+ln(0.64)+ln(0.55)

simplify

ln (0.42) + ln (0.37) + ln (0.64) + ln (0.55)

ln (0.0547008)

Decimal Notation

- 2.90587 \dots

Solution steps

ln (0.42) + ln (0.37) + ln (0.64) + ln (0.55)

Apply log rule:

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

ln (0.42) + ln (0.37) = ln (0.42 \cdot 0.37)

= ln (0.42 \cdot 0.37) + ln (0.64) + ln (0.55)

Multiply the numbers:

0.42 \cdot 0.37 = 0.1554

= ln (0.1554) + ln (0.64) + ln (0.55)

Apply log rule:

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

ln (0.1554) + ln (0.64) = ln (0.1554 \cdot 0.64)

= ln (0.1554 \cdot 0.64) + ln (0.55)

Multiply the numbers:

0.1554 \cdot 0.64 = 0.099456

= ln (0.099456) + ln (0.55)

Apply log rule:

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

ln (0.099456) + ln (0.55) = ln (0.099456 \cdot 0.55)

= ln (0.099456 \cdot 0.55)

Multiply the numbers:

0.099456 \cdot 0.55 = 0.0547008

= ln (0.0547008)

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- lo g_{10} (8.83 \cdot 1 0^{- 3})

What is ln(0.42)+ln(0.37)+ln(0.64)+ln(0.55) ?
The solution to ln(0.42)+ln(0.37)+ln(0.64)+ln(0.55) is ln(0.0547008)