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Popular >

simplify e^{-log_{e}(cos(x))}

Solution

simplify

e^{- l o g_{e} (c o s (x))}

Solution

\frac{1}{cos ( x )}

Solution steps

e^{- l o g_{e} (c o s (x))}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{l o g_{e} (c o s (x))}}

e^{l o g_{e} (c o s (x))} = cos (x)

= \frac{1}{cos ( x )}

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Frequently Asked Questions (FAQ)

What is e^{-log_{e}(cos(x))} ?
The solution to e^{-log_{e}(cos(x))} is 1/(cos(x))