Datrys 250000*106^x=297754

$$250000 \times { 106 }^{ x } = 297754$$

Datrys ar gyfer x

$$x=3\log_{106}\left(\frac{53}{50}\right)\approx 0.037484509$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$250000\times 106^{x}=297754$$

Rhannu’r ddwy ochr â 250000.

$$106^{x}=\frac{148877}{125000}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(106^{x})=\log(\frac{148877}{125000})$$

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

$$x\log(106)=\log(\frac{148877}{125000})$$

Rhannu’r ddwy ochr â \log(106).

$$x=\frac{\log(\frac{148877}{125000})}{\log(106)}$$

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

$$x=\log_{106}\left(\frac{148877}{125000}\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(106)}+\log_{106}\left(\frac{148877}{125000}\right)$$

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