Datrys 10^x+2-12=22

$${ 10 }^{ x+2 } -12=22$$

Datrys ar gyfer x

$$x=-\log_{10}\left(\frac{50}{17}\right)\approx -0.468521083$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$10^{x+2}-12=22$$

Adio 12 at ddwy ochr yr hafaliad.

$$10^{x+2}=34$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(10^{x+2})=\log(34)$$

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

$$\left(x+2\right)\log(10)=\log(34)$$

Tynnu 2 o ddwy ochr yr hafaliad.

$$x=\log(34)-2$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(10)}-\log_{10}\left(\frac{50}{17}\right)$$

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