Datrys 3125=5^n

$$3125 = 5 ^ { n }$$

Datrys ar gyfer n

$$n=5$$

Camau gan Ddefnyddio Diffiniad Logarithm

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$5^{n}=3125$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(5^{n})=\log(3125)$$

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

$$n\log(5)=\log(3125)$$

Rhannu’r ddwy ochr â \log(5).

$$n=\frac{\log(3125)}{\log(5)}$$

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

$$n=\log_{5}\left(3125\right)$$