Datrys 16^2n=64

$$16 ^ { 2 n } = 64$$

Datrys ar gyfer n

$$n=\frac{3}{4}=0.75$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$16^{2n}=64$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(16^{2n})=\log(64)$$

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

$$2n\log(16)=\log(64)$$

Rhannu’r ddwy ochr â \log(16).

$$2n=\frac{\log(64)}{\log(16)}$$

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

$$2n=\log_{16}\left(64\right)$$

Rhannu’r ddwy ochr â 2.

$$n=\frac{\frac{3}{2}}{2}$$