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Popular >

simplify 36ln(12)-36ln(6)

Solution

simplify

36 ln (12) - 36 ln (6)

Solution

36 ln (2)

+1

Decimal Notation

24.95329 \dots

Solution steps

36 ln (12) - 36 ln (6)

Apply log rule:

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

36 ln (12) = ln (1 2^{36})

= ln (1 2^{36}) - 36 ln (6)

Apply log rule:

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

36 ln (6) = ln (6^{36})

= ln (1 2^{36}) - ln (6^{36})

Apply log rule:

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

ln (1 2^{36}) - ln (6^{36}) = ln (\frac{1 2 ^{36}}{6 ^{36}})

= ln (\frac{1 2 ^{36}}{6 ^{36}})

\frac{1 2 ^{36}}{6 ^{36}} = 2^{36}

= ln (2^{36})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= 36 ln (2)

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Frequently Asked Questions (FAQ)

What is 36ln(12)-36ln(6) ?
The solution to 36ln(12)-36ln(6) is 36ln(2)