Datrys 2^m=62

$$2 ^ { m } = 62$$

Datrys ar gyfer m

$$m=\log_{2}\left(62\right)\approx 5.95419631$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$2^{m}=62$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(2^{m})=\log(62)$$

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

$$m\log(2)=\log(62)$$

Rhannu’r ddwy ochr â \log(2).

$$m=\frac{\log(62)}{\log(2)}$$

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

$$m=\log_{2}\left(62\right)$$

Datrys ar gyfer m (complex solution)

$$m=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(62\right)$$

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