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Popular >

simplify eln(ey)-e-ln(y)+1

Solution

simplify

e ln (ey) - e - ln (y) + 1

Solution

ln (e^{e} y^{e - 1}) - e + 1

Solution steps

e ln (ey) - e - ln (y) + 1

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

= ln ((ey)^{e}) - e - ln (y) + 1

Apply log rule:

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

ln ((ey)^{e}) - ln (y) = ln (\frac{( ey ) ^{e}}{y})

= ln (\frac{( ey ) ^{e}}{y}) - e + 1

Simplify

\frac{( ey ) ^{e}}{y} : e^{e} y^{e - 1}

= ln (e^{e} y^{e - 1}) - e + 1

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Frequently Asked Questions (FAQ)

What is eln(ey)-e-ln(y)+1 ?
The solution to eln(ey)-e-ln(y)+1 is ln(e^ey^{e-1})-e+1