Datrys 1000000=418658*left(10250right)^x

$$1000000=418658 \times { \left(10250 \right) }^{ x }$$

Datrys ar gyfer x

$$x=\log_{10250}\left(\frac{500000}{209329}\right)\approx 0.094282383$$

Camau gan Ddefnyddio Diffiniad Logarithm

Rhannu’r ddwy ochr â 418658.

$$\frac{1000000}{418658}=10250^{x}$$

Lleihau'r ffracsiwn \frac{1000000}{418658} i'r graddau lleiaf posib drwy dynnu a chanslo allan 2.

$$\frac{500000}{209329}=10250^{x}$$

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

$$10250^{x}=\frac{500000}{209329}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(10250^{x})=\log(\frac{500000}{209329})$$

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

$$x\log(10250)=\log(\frac{500000}{209329})$$

Rhannu’r ddwy ochr â \log(10250).

$$x=\frac{\log(\frac{500000}{209329})}{\log(10250)}$$

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

$$x=\log_{10250}\left(\frac{500000}{209329}\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(10250)}+\log_{10250}\left(\frac{500000}{209329}\right)$$

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