Datrys 25^3k=629

$$25 ^ { 3 k } = 629$$

Datrys ar gyfer k

$$k=\frac{\log_{5}\left(629\right)}{6}\approx 0.667327312$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$25^{3k}=629$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(25^{3k})=\log(629)$$

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

$$3k\log(25)=\log(629)$$

Rhannu’r ddwy ochr â \log(25).

$$3k=\frac{\log(629)}{\log(25)}$$

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

$$3k=\log_{25}\left(629\right)$$

Rhannu’r ddwy ochr â 3.

$$k=\frac{\log_{5}\left(629\right)}{2\times 3}$$