Datrys 5*27^x=10935

$$5 \times 27 ^ { x } = 10935$$

Datrys ar gyfer x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$5\times 27^{x}=10935$$

Rhannu’r ddwy ochr â 5.

$$27^{x}=2187$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(27^{x})=\log(2187)$$

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

$$x\log(27)=\log(2187)$$

Rhannu’r ddwy ochr â \log(27).

$$x=\frac{\log(2187)}{\log(27)}$$

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

$$x=\log_{27}\left(2187\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{3\ln(3)}+\frac{7}{3}$$

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