Datrys 100000000=67*1026^x

$$100000000 = 67 \times { 1026 }^{ x }$$

Datrys ar gyfer x

$$x=\log_{1026}\left(\frac{100000000}{67}\right)\approx 2.050356378$$

Camau gan Ddefnyddio Diffiniad Logarithm

Rhannu’r ddwy ochr â 67.

$$\frac{100000000}{67}=1026^{x}$$

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

$$1026^{x}=\frac{100000000}{67}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(1026^{x})=\log(\frac{100000000}{67})$$

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

$$x\log(1026)=\log(\frac{100000000}{67})$$

Rhannu’r ddwy ochr â \log(1026).

$$x=\frac{\log(\frac{100000000}{67})}{\log(1026)}$$

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

$$x=\log_{1026}\left(\frac{100000000}{67}\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(1026)}+\log_{1026}\left(\frac{100000000}{67}\right)$$

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