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Popular >

simplify ln((x^2)/(25))

Solution

simplify

ln (\frac{x ^{2}}{25})

Solution

2 ln (x) - 2 ln (5)

Solution steps

ln (\frac{x ^{2}}{25})

Apply log rule:

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

ln (\frac{x ^{2}}{25}) = ln (x^{2}) - ln (25)

= ln (x^{2}) - ln (25)

Apply log rule:

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

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

= 2 ln (x) - ln (25)

ln (25) = 2 ln (5)

= 2 ln (x) - 2 ln (5)

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Frequently Asked Questions (FAQ)

What is ln((x^2)/(25)) ?
The solution to ln((x^2)/(25)) is 2ln(x)-2ln(5)