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Popular >

simplify ln((1+8)/(2+16))

Solution

simplify

ln (\frac{1 + 8}{2 + 16})

Solution

2 ln (3) - ln (18)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (\frac{1 + 8}{2 + 16})

Apply log rule:

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

ln (\frac{1 + 8}{2 + 16}) = ln (1 + 8) - ln (2 + 16)

= ln (1 + 8) - ln (2 + 16)

Add the numbers:

1 + 8 = 9

= ln (9) - ln (2 + 16)

Add the numbers:

2 + 16 = 18

= ln (9) - ln (18)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (18)

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Frequently Asked Questions (FAQ)

What is ln((1+8)/(2+16)) ?
The solution to ln((1+8)/(2+16)) is 2ln(3)-ln(18)