Datrys 20^8v=355

$$20 ^ { 8 v } = 355$$

Datrys ar gyfer v

$$v=\frac{\log_{20}\left(355\right)}{8}\approx 0.245020134$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$20^{8v}=355$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(20^{8v})=\log(355)$$

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

$$8v\log(20)=\log(355)$$

Rhannu’r ddwy ochr â \log(20).

$$8v=\frac{\log(355)}{\log(20)}$$

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

$$8v=\log_{20}\left(355\right)$$

Rhannu’r ddwy ochr â 8.

$$v=\frac{\log_{20}\left(355\right)}{8}$$