Datrys 2^x+3=25

$${ 2 }^{ x } +3 = 25$$

Datrys ar gyfer x

$$x=\log_{2}\left(22\right)\approx 4.459431619$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{x}+3=25$$

Tynnu 3 o ddwy ochr yr hafaliad.

$$2^{x}=22$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{x})=\log(22)$$

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

$$x\log(2)=\log(22)$$

Rhannu’r ddwy ochr â \log(2).

$$x=\frac{\log(22)}{\log(2)}$$

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

$$x=\log_{2}\left(22\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(22\right)$$

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