Datrys 546978=4500*105^n

$$546978 = 4500 \times 105 ^ { n }$$

Datrys ar gyfer n

$$n=\log_{105}\left(\frac{91163}{750}\right)\approx 1.031450813$$

Camau gan Ddefnyddio Diffiniad Logarithm

Rhannu’r ddwy ochr â 4500.

$$\frac{546978}{4500}=105^{n}$$

Lleihau'r ffracsiwn \frac{546978}{4500} i'r graddau lleiaf posib drwy dynnu a chanslo allan 6.

$$\frac{91163}{750}=105^{n}$$

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$105^{n}=\frac{91163}{750}$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(105^{n})=\log(\frac{91163}{750})$$

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

$$n\log(105)=\log(\frac{91163}{750})$$

Rhannu’r ddwy ochr â \log(105).

$$n=\frac{\log(\frac{91163}{750})}{\log(105)}$$

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

$$n=\log_{105}\left(\frac{91163}{750}\right)$$