Datrys 5^2x+2=1/625

$$5 ^ { 2 x + 2 } = \frac { 1 } { 625 }$$

Datrys ar gyfer x

$$x=-3$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$5^{2x+2}=\frac{1}{625}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(5^{2x+2})=\log(\frac{1}{625})$$

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

$$\left(2x+2\right)\log(5)=\log(\frac{1}{625})$$

Rhannu’r ddwy ochr â \log(5).

$$2x+2=\frac{\log(\frac{1}{625})}{\log(5)}$$

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

$$2x+2=\log_{5}\left(\frac{1}{625}\right)$$

Tynnu 2 o ddwy ochr yr hafaliad.

$$2x=-4-2$$

Rhannu’r ddwy ochr â 2.

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