What is ln(2)+ln(18)-ln(6) ?

The solution to ln(2)+ln(18)-ln(6) is ln(6)

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simplify ln(2)+ln(18)-ln(6)

simplify

ln (2) + ln (18) - ln (6)

ln (6)

Decimal Notation

1.79175 \dots

Solution steps

ln (2) + ln (18) - ln (6)

Apply log rule:

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

ln (2) + ln (18) = ln (2 \cdot 18)

= ln (2 \cdot 18) - ln (6)

Multiply the numbers:

2 \cdot 18 = 36

= ln (36) - ln (6)

ln (36) = 2 ln (6)

= 2 ln (6) - ln (6)

Add similar elements:

2 ln (6) - ln (6) = ln (6)

= ln (6)

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