Datrys 10^1-x=5

$$10 ^ { 1 - x } = 5$$

Datrys ar gyfer x

$$x=\log_{10}\left(2\right)\approx 0.301029996$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$10^{-x+1}=5$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(10^{-x+1})=\log(5)$$

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

$$\left(-x+1\right)\log(10)=\log(5)$$

Tynnu 1 o ddwy ochr yr hafaliad.

$$-x=\log(5)-1$$

Rhannu’r ddwy ochr â -1.

$$x=\frac{\log(5)-1}{-1}$$

Datrys ar gyfer x (complex solution)

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

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