Datrys 3^-p-2=27

$$3 ^ { - p - 2 } = 27$$

Datrys ar gyfer p

$$p=-5$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$3^{-p-2}=27$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(3^{-p-2})=\log(27)$$

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

$$\left(-p-2\right)\log(3)=\log(27)$$

Rhannu’r ddwy ochr â \log(3).

$$-p-2=\frac{\log(27)}{\log(3)}$$

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

$$-p-2=\log_{3}\left(27\right)$$

Adio 2 at ddwy ochr yr hafaliad.

$$-p=3-\left(-2\right)$$

Rhannu’r ddwy ochr â -1.

$$p=\frac{5}{-1}$$