Rešite 9*12^n=88 | Microsoftov reševalec matematičnih operacij

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9\times 12^{n}=88

Uporabi pravila eksponentov in logaritmov za rešitev enačbe.

12^{n}=\frac{88}{9}

Delite obe strani z vrednostjo 9.

\log(12^{n})=\log(\frac{88}{9})

Uporabite logaritem obeh strani enačbe.

n\log(12)=\log(\frac{88}{9})

Logaritem števila na potenco je potenca krat logaritem števila.

n=\frac{\log(\frac{88}{9})}{\log(12)}

Delite obe strani z vrednostjo \log(12).

n=\log_{12}\left(\frac{88}{9}\right)

S formulo za spremembo osnove \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

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