Réitigh 8280000=2^x

$$8280000= { 2 }^{ x }$$

Réitigh do x.

$$x=\log_{2}\left(8280000\right)\approx 22.981199337$$

Céimeanna ag Baint Úsáid as Sainiú an Logartaim

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$2^{x}=8280000$$

Ghlac logartam an dá thaobh den chothromóid.

$$\log(2^{x})=\log(8280000)$$

Is ionann logartam uimhreacha a ardaítear go cumhacht agus an chumhacht méadaithe faoi logartam na huimhreach.

$$x\log(2)=\log(8280000)$$

Roinn an dá thaobh faoi \log(2).

$$x=\frac{\log(8280000)}{\log(2)}$$

Leis an bhfoirmle athrú boinn \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$x=\log_{2}\left(8280000\right)$$

Réitigh do x. (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(8280000\right)$$

$$n_{1}\in \mathrm{Z}$$