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Popular >

simplify ln(5x^2)

Solution

simplify

ln (5 x^{2})

Solution

ln (5) + 2 ln (x)

Solution steps

ln (5 x^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (5 x^{2}) = ln (5) + ln (x^{2})

= ln (5) + ln (x^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (5) + 2 ln (x)

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Frequently Asked Questions (FAQ)

What is ln(5x^2) ?
The solution to ln(5x^2) is ln(5)+2ln(x)