Datrys (7^2)^n=497^8

$$( 7 ^ { 2 } ) ^ { n } = 497 ^ { 8 }$$

Datrys ar gyfer n

$$n=4\log_{7}\left(497\right)\approx 12.762336491$$

Camau gan Ddefnyddio Diffiniad Logarithm

Cyfrifo 7 i bŵer 2 a chael 49.

$$49^{n}=497^{8}$$

Cyfrifo 497 i bŵer 8 a chael 3722640602679094258561.

$$49^{n}=3722640602679094258561$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(49^{n})=\log(3722640602679094258561)$$

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

$$n\log(49)=\log(3722640602679094258561)$$

Rhannu’r ddwy ochr â \log(49).

$$n=\frac{\log(3722640602679094258561)}{\log(49)}$$

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

$$n=\log_{49}\left(3722640602679094258561\right)$$