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Popular >

simplify 1/4 ln(1296)-ln(2)

Solution

simplify

\frac{1}{4} ln (1296) - ln (2)

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

\frac{1}{4} ln (1296) - ln (2)

Apply log rule:

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

\frac{1}{4} ln (1296) = ln (129 6^{\frac{1}{4}})

= ln (129 6^{\frac{1}{4}}) - ln (2)

Apply log rule:

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

ln (129 6^{\frac{1}{4}}) - ln (2) = ln (\frac{129 6 ^{\frac{1}{4}}}{2})

= ln (\frac{129 6 ^{\frac{1}{4}}}{2})

\frac{129 6 ^{\frac{1}{4}}}{2} = 3

= ln (3)

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Frequently Asked Questions (FAQ)

What is 1/4 ln(1296)-ln(2) ?
The solution to 1/4 ln(1296)-ln(2) is ln(3)