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Popular >

simplify log_{e}(y/2)

Solution

simplify

lo g_{e} (\frac{y}{2})

Solution

ln (y) - ln (2)

Solution steps

lo g_{e} (\frac{y}{2})

Apply log rule:

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

lo g_{e} (\frac{y}{2}) = lo g_{e} (y) - lo g_{e} (2)

= lo g_{e} (y) - lo g_{e} (2)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (y) - lo g_{e} (2)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (y) - ln (2)

Popular Examples

join (5ln(29/74))/(ln(59/74))join

\frac{5 ln ( \frac{29}{74} )}{ln ( \frac{59}{74} )}

simplify 20*log_{10}((x*2pi*3)/((10*0.02)))simplify

20 \cdot lo g_{10} (\frac{x \cdot 2 π \cdot 3}{( 10 \cdot 0.02 )})

simplify log_{10}(116-x^2)-2log_{10}(x-1)simplify

lo g_{10} (116 - x^{2}) - 2 lo g_{10} (x - 1)

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5 (ln ∣ 1 - 5 ∣ - ln ∣ 1 - 4 ∣) + 1

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ln (a \cdot e^{x})

Frequently Asked Questions (FAQ)

What is log_{e}(y/2) ?
The solution to log_{e}(y/2) is ln(y)-ln(2)