Datrys (1/2)^x=1/32

$$( \frac { 1 } { 2 } ) ^ { x } = \frac { 1 } { 32 }$$

Datrys ar gyfer x

$$x=5$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$\left(\frac{1}{2}\right)^{x}=\frac{1}{32}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(\left(\frac{1}{2}\right)^{x})=\log(\frac{1}{32})$$

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

$$x\log(\frac{1}{2})=\log(\frac{1}{32})$$

Rhannu’r ddwy ochr â \log(\frac{1}{2}).

$$x=\frac{\log(\frac{1}{32})}{\log(\frac{1}{2})}$$

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

$$x=\log_{\frac{1}{2}}\left(\frac{1}{32}\right)$$

Datrys ar gyfer x (complex solution)

$$x=-\frac{2\pi n_{1}i}{\ln(2)}+5$$

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