Datrys 4^3m=16

$$4 ^ { 3 m } = 16$$

Datrys ar gyfer m

$$m=\frac{2}{3}\approx 0.666666667$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$4^{3m}=16$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(4^{3m})=\log(16)$$

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

$$3m\log(4)=\log(16)$$

Rhannu’r ddwy ochr â \log(4).

$$3m=\frac{\log(16)}{\log(4)}$$

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

$$3m=\log_{4}\left(16\right)$$

Rhannu’r ddwy ochr â 3.

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