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Popular >

simplify ln(3x^2)-4ln(sqrt(x))

Solution

simplify

ln (3 x^{2}) - 4 ln (x)

Solution

ln (3)

+1

Decimal Notation

1.09861 \dots

Solution steps

ln (3 x^{2}) - 4 ln (x)

Apply log rule:

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

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

= ln (3 x^{2}) - ln ((x)^{4})

Apply log rule:

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

ln (3 x^{2}) - ln ((x)^{4}) = ln (\frac{3 x ^{2}}{( x ) ^{4}})

= ln (\frac{3 x ^{2}}{( x ) ^{4}})

\frac{3 x ^{2}}{( x ) ^{4}} = 3

= ln (3)

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Frequently Asked Questions (FAQ)

What is ln(3x^2)-4ln(sqrt(x)) ?
The solution to ln(3x^2)-4ln(sqrt(x)) is ln(3)