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Popular >

simplify ln(12x^4)-ln(4x)

Solution

simplify

ln (12 x^{4}) - ln (4 x)

Solution

ln (3 x^{3})

Solution steps

ln (12 x^{4}) - ln (4 x)

Apply log rule:

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

ln (12 x^{4}) - ln (4 x) = ln (\frac{12 x ^{4}}{4 x})

= ln (\frac{12 x ^{4}}{4 x})

Simplify

\frac{12 x ^{4}}{4 x} : 3 x^{3}

= ln (3 x^{3})

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Frequently Asked Questions (FAQ)

What is ln(12x^4)-ln(4x) ?
The solution to ln(12x^4)-ln(4x) is ln(3x^3)