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Popular >

simplify 4(ln(x)-2ln(2))

Solution

simplify

4 (ln (x) - 2 ln (2))

Solution

4 ln (\frac{x}{4})

Solution steps

4 (ln (x) - 2 ln (2))

Apply log rule:

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

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

= 4 (ln (x) - ln (2^{2}))

Apply log rule:

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

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

= 4 ln (\frac{x}{2 ^{2}})

2^{2} = 4

= 4 ln (\frac{x}{4})

Popular Examples

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lo g_{2} (5) \cdot \frac{7}{8}

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- lo g_{10} (6.4 \cdot 1 0^{- 8})

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ln (\frac{- 8}{x}) + c

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ln (p x^{p - 2})

join 5/6 ln(12)join

\frac{5}{6} ln (12)

Frequently Asked Questions (FAQ)

What is 4(ln(x)-2ln(2)) ?
The solution to 4(ln(x)-2ln(2)) is 4ln(x/4)