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Popular >

simplify ln(y/(2b^2))

Solution

simplify

ln (\frac{y}{2 b ^{2}})

Solution

ln (y) - ln (2) - 2 ln (b)

Solution steps

ln (\frac{y}{2 b ^{2}})

Apply log rule:

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

ln (\frac{y}{2 b ^{2}}) = ln (y) - ln (2 b^{2})

= ln (y) - ln (2 b^{2})

Apply log rule:

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

ln (2 b^{2}) = ln (2) + ln (b^{2})

= ln (y) - (ln (b^{2}) + ln (2))

Apply log rule:

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

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

= ln (y) - (ln (2) + 2 ln (b))

- (ln (2) + 2 ln (b)) : - ln (2) - 2 ln (b)

= ln (y) - ln (2) - 2 ln (b)

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Frequently Asked Questions (FAQ)

What is ln(y/(2b^2)) ?
The solution to ln(y/(2b^2)) is ln(y)-ln(2)-2ln(b)