Datrys 3^(12-3x)=729

$$3 ^ { ( 12 - 3 x ) } = 729$$

Datrys ar gyfer x

$$x=2$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$3^{-3x+12}=729$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(3^{-3x+12})=\log(729)$$

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

$$\left(-3x+12\right)\log(3)=\log(729)$$

Rhannu’r ddwy ochr â \log(3).

$$-3x+12=\frac{\log(729)}{\log(3)}$$

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

$$-3x+12=\log_{3}\left(729\right)$$

Tynnu 12 o ddwy ochr yr hafaliad.

$$-3x=6-12$$

Rhannu’r ddwy ochr â -3.

$$x=-\frac{6}{-3}$$

Datrys ar gyfer x (complex solution)

$$x=-\frac{i\times 2\pi n_{1}}{3\ln(3)}+2$$

$$n_{1}\in \mathrm{Z}$$