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Popular >

simplify ln(1)-ln(2)-ln(3)

Solution

simplify

ln (1) - ln (2) - ln (3)

Solution

- ln (6)

+1

Decimal Notation

- 1.79175 \dots

Solution steps

ln (1) - ln (2) - ln (3)

Rewrite

- ln (2) - ln (3)

as

- (ln (2) + ln (3))

= ln (1) - (ln (2) + ln (3))

Apply log rule:

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

ln (2) + ln (3) = ln (2 \cdot 3)

= ln (1) - ln (2 \cdot 3)

Multiply the numbers:

2 \cdot 3 = 6

= ln (1) - ln (6)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (6)

0 - ln (6) = - ln (6)

= - ln (6)

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Frequently Asked Questions (FAQ)

What is ln(1)-ln(2)-ln(3) ?
The solution to ln(1)-ln(2)-ln(3) is -ln(6)