If loga81=4, find value of a?

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asked May 15, 2021 203k views

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If loga81=4, find value of a?

Mathematics
college

Kevin Mansel asked

by Kevin Mansel

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1 Answer

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Answer:

$\huge\boxed{a=4}$

Explanation:

$\log_xy=z\iff x^z=y\\\\\text{for}\ x\\eq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_(=81)\\\\a^4=3^4\Rightarrow a=3$

Shaundel answered May 20, 2021

by Shaundel

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