Datrys 1quad3.2^x=24

$$1 \quad 3.2 ^ { x } = 24$$

Datrys ar gyfer x

$$x=\log_{3.2}\left(24\right)\approx 2.732280117$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$3.2^{x}=24$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(3.2^{x})=\log(24)$$

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

$$x\log(3.2)=\log(24)$$

Rhannu’r ddwy ochr â \log(3.2).

$$x=\frac{\log(24)}{\log(3.2)}$$

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

$$x=\log_{3.2}\left(24\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(3.2)}+\log_{3.2}\left(24\right)$$

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