Réitigh (-3)(2)^n-1=-1536

$$( - 3 ) ( 2 ) ^ { n - 1 } = - 1536$$

Réitigh do n.

$$n=10$$

Céimeanna ag Baint Úsáid as Sainiú an Logartaim

Roinn an dá thaobh faoi -3.

$$2^{n-1}=\frac{-1536}{-3}$$

Roinn -1536 faoi -3 chun 512 a fháil.

$$2^{n-1}=512$$

Ghlac logartam an dá thaobh den chothromóid.

$$\log(2^{n-1})=\log(512)$$

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

$$\left(n-1\right)\log(2)=\log(512)$$

Roinn an dá thaobh faoi \log(2).

$$n-1=\frac{\log(512)}{\log(2)}$$

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

$$n-1=\log_{2}\left(512\right)$$

Cuir 1 leis an dá thaobh den chothromóid.

$$n=9-\left(-1\right)$$