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Popular >

simplify 10ln(4x)-ln^2(4x)

Solution

simplify

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

Solution

ln (262144 x^{9})

Solution steps

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

Apply log rule:

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

10 ln (4 x) = ln ((4 x)^{10})

= ln ((4 x)^{10}) - ln^{2} (4 x)

Apply log rule:

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

ln ((4 x)^{10}) - ln^{2} (4 x) = ln (\frac{( 4 x ) ^{10}}{4 x})

= ln (\frac{( 4 x ) ^{10}}{4 x})

Simplify

\frac{( 4 x ) ^{10}}{4 x} : 262144 x^{9}

= ln (262144 x^{9})

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Frequently Asked Questions (FAQ)

What is 10ln(4x)-ln^2(4x) ?
The solution to 10ln(4x)-ln^2(4x) is ln(262144x^9)