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I saw this question asking $x^{0.25} = 2.5045$

One of the answers rewrote is as $x^b=a$

And then they said to divide both sides by $\frac{1}{b}$, thats what im confused on, why must you divide both sides by $\frac{1}{b}$

Masood Hejran
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1 Answers1

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You could say $$x^{0.25} = 2.5045$$ is equivalent to $$0.25 \log(x) = \log(2.5045)$$ and then divide both sides by $0.25$, i.e. multiply both sides by $\frac1{0.25}=4$, to give $$\log(x) = 4\log(2.5045)$$ which is equivalent to $$x = 2.5045^4$$ which you can calculate.

Henry
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