1 Answer

Etch · Answer 1 · 2023-11-28T12:11:04+0000

a)

$e^{\ln (\sqrt[]{5})}$

Simplify

$\ln (\sqrt[]{5})=(1)/(2)\ln (5)$

So, we have

$e^{(1)/(2)\ln (5)}$

Apply the exponent law

$\begin{gathered} (e^(\ln (5)))^{(1)/(2)} \\ e^(\ln (5))=5,\text{ therefore} \\ 5^{(1)/(2)}=\sqrt[]{5} \end{gathered}$

Answer:

$\sqrt[]{5}$

b)

$e^{\ln ((1)/(\pi))}$

Applying the properties of logarithms

$\begin{gathered} (1)/(\pi) \\ \end{gathered}$

Answer:

$(1)/(\pi)$

c)

$10^(\log (15))$

Applying the properties of logarithms

Answer: 15

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