Datrys 8225(10295)^n=3750

$$8225 ( 10295 ) ^ { n } = 3750$$

Datrys ar gyfer n

$$n=\log_{10295}\left(\frac{150}{329}\right)\approx -0.085007825$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$8225\times 10295^{n}=3750$$

Rhannu’r ddwy ochr â 8225.

$$10295^{n}=\frac{150}{329}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(10295^{n})=\log(\frac{150}{329})$$

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

$$n\log(10295)=\log(\frac{150}{329})$$

Rhannu’r ddwy ochr â \log(10295).

$$n=\frac{\log(\frac{150}{329})}{\log(10295)}$$

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

$$n=\log_{10295}\left(\frac{150}{329}\right)$$