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Popular >

simplify e^{log_{e^2}(16)}

Solution

simplify

e^{l o g_{e^{2}} (16)}

Solution

4

Solution steps

e^{l o g_{e^{2}} (16)}

Simplify

lo g_{e^{2}} (16) : \frac{1}{2} lo g_{e} (16)

= e^{\frac{1}{2} l o g_{e} (16)}

Simplify

lo g_{e} (16) : ln (16)

= e^{\frac{1}{2} l n (16)}

Apply exponent rule:

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

= e^{l n (16)}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (16)} = 16

= 16

Simplify

= 4

Popular Examples

440-[30+6(19-12)]

440 - [30 + 6 (19 - 12)]

simplify (\frac{x^2-y^2)/(xy)}{1/y-1/x}simplify

\frac{\frac{x ^{2} - y ^{2}}{x y}}{\frac{1}{y} - \frac{1}{x}}

5 x + 2 (x + 1) \geq 23

2 x^{2} = 16

factor p^2-6p+8 factor

p^{2} - 6 p + 8

Frequently Asked Questions (FAQ)

What is e^{log_{e^2}(16)} ?
The solution to e^{log_{e^2}(16)} is 4