Datrys 2=1065^n

$$2 = 1065 ^ { n }$$

Datrys ar gyfer n

$$n=\log_{1065}\left(2\right)\approx 0.099436813$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$1065^{n}=2$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1065^{n})=\log(2)$$

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

$$n\log(1065)=\log(2)$$

Rhannu’r ddwy ochr â \log(1065).

$$n=\frac{\log(2)}{\log(1065)}$$

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

$$n=\log_{1065}\left(2\right)$$

Datrys ar gyfer n (complex solution)

$$n=\frac{2\pi n_{1}i}{\ln(1065)}+\log_{1065}\left(2\right)$$

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