Datrys 5^(2x-6)=1

$${ 5 }^{ (2x-6) } =1$$

Datrys ar gyfer x

$$x=3$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$5^{2x-6}=1$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(5^{2x-6})=\log(1)$$

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

$$\left(2x-6\right)\log(5)=\log(1)$$

Rhannu’r ddwy ochr â \log(5).

$$2x-6=\frac{\log(1)}{\log(5)}$$

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

$$2x-6=\log_{5}\left(1\right)$$

Adio 6 at ddwy ochr yr hafaliad.

$$2x=-\left(-6\right)$$

Rhannu’r ddwy ochr â 2.

$$x=\frac{6}{2}$$