# Can someone give me the process to differentiate this (with respect to x)? ln(a^x)

How to differentiate $\mathrm{ln}\left({a}^{x}\right)$?
Can someone give me the process to differentiate this (with respect to x)?
$\mathrm{ln}\left({a}^{x}\right)$
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Marlene Welch
Since
$\mathrm{ln}\left({a}^{x}\right)=x\mathrm{ln}a,$
you can see that this function is in fact linear in $x$. (Note that $\mathrm{ln}a$ is just some constant.) The derivative is therefore $1\cdot \mathrm{ln}a=\mathrm{ln}a.$
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fluerkg
Hint:
Use the fact that
${a}^{x}={e}^{x\mathrm{ln}a}.$