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Popular >

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

Solution

simplify

\frac{1}{( - ln ( 3 ) + 2 ln ( 2 ) )}

Solution

\frac{1}{ln ( \frac{4}{3} )}

+1

Decimal Notation

3.47605 \dots

Solution steps

\frac{1}{( - ln ( 3 ) + 2 ln ( 2 ) )}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (2) = ln (2^{2})

= \frac{1}{( - ln ( 3 ) + ln ( 2 ^{2} ) )}

Apply log rule:

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

ln (2^{2}) - ln (3) = ln (\frac{2 ^{2}}{3})

= \frac{1}{ln ( \frac{2 ^{2}}{3} )}

2^{2} = 4

= \frac{1}{ln ( \frac{4}{3} )}

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Frequently Asked Questions (FAQ)

What is 1/((-ln(3)+2ln(2))) ?
The solution to 1/((-ln(3)+2ln(2))) is 1/(ln(4/3))