Datrys 78^n+1=448

$$7 { 8 }^{ n+1 } = 448$$

Datrys ar gyfer n

$$n=1$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$7\times 8^{n+1}=448$$

Rhannu’r ddwy ochr â 7.

$$8^{n+1}=64$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(8^{n+1})=\log(64)$$

Logarithm rhif wedi’i godi i bŵer yw’r pŵer wedi’i lluosi â logarithm y rhif.

$$\left(n+1\right)\log(8)=\log(64)$$

Rhannu’r ddwy ochr â \log(8).

$$n+1=\frac{\log(64)}{\log(8)}$$

Gyda’r fformiwla newid-sail \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$n+1=\log_{8}\left(64\right)$$

Tynnu 1 o ddwy ochr yr hafaliad.

$$n=2-1$$