Datrys 7^x+1=7

$$7 ^ { x + 1 } = 7$$

Datrys ar gyfer x

$$x=0$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$7^{x+1}=7$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(7^{x+1})=\log(7)$$

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

$$\left(x+1\right)\log(7)=\log(7)$$

Rhannu’r ddwy ochr â \log(7).

$$x+1=\frac{\log(7)}{\log(7)}$$

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

$$x+1=\log_{7}\left(7\right)$$

Tynnu 1 o ddwy ochr yr hafaliad.

$$x=1-1$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(7)}$$

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