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Popular >

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

Solution

simplify

2 ln (x) - 4 ln (c)

Solution

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

Solution steps

2 ln (x) - 4 ln (c)

Apply log rule:

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

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

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

Apply log rule:

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

4 ln (c) = ln (c^{4})

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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