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Popular >

simplify ln(((e^2))/(c^2+5))

Solution

simplify

ln (\frac{( e ^{2} )}{c ^{2} + 5})

Solution

2 - ln (c^{2} + 5)

Solution steps

ln (\frac{( e ^{2} )}{c ^{2} + 5})

Apply log rule:

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

ln (\frac{( e ^{2} )}{c ^{2} + 5}) = ln ((e^{2})) - ln (c^{2} + 5)

= ln (e^{2}) - ln (c^{2} + 5)

Apply log rule:

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

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

= 2 ln (e) - ln (c^{2} + 5)

2 ln (e) = 2

= 2 - ln (c^{2} + 5)

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Frequently Asked Questions (FAQ)

What is ln(((e^2))/(c^2+5)) ?
The solution to ln(((e^2))/(c^2+5)) is 2-ln(c^2+5)