Datrys 8^y-2=16

$$8 ^ { y - 2 } = 16$$

Datrys ar gyfer y

$$y = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$8^{y-2}=16$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(8^{y-2})=\log(16)$$

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

$$\left(y-2\right)\log(8)=\log(16)$$

Rhannu’r ddwy ochr â \log(8).

$$y-2=\frac{\log(16)}{\log(8)}$$

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

$$y-2=\log_{8}\left(16\right)$$

Adio 2 at ddwy ochr yr hafaliad.

$$y=\frac{4}{3}-\left(-2\right)$$