Datrys 239=3^n-1

$$239 = 3 ^ { n - 1 }$$

Datrys ar gyfer n

$$n=\log_{3}\left(239\right)+1\approx 5.984891948$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$3^{n-1}=239$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(3^{n-1})=\log(239)$$

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

$$\left(n-1\right)\log(3)=\log(239)$$

Rhannu’r ddwy ochr â \log(3).

$$n-1=\frac{\log(239)}{\log(3)}$$

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

$$n-1=\log_{3}\left(239\right)$$

Adio 1 at ddwy ochr yr hafaliad.

$$n=\log_{3}\left(239\right)-\left(-1\right)$$