Datrys 9^n+2=240+9

$$9 ^ { n + 2 } = 240 + 9$$

Datrys ar gyfer n

$$n=\frac{\log_{3}\left(249\right)-4}{2}\approx 0.511101029$$

Camau gan Ddefnyddio Diffiniad Logarithm

Defnyddio rheolau esbonyddion a logarithmau i ddatrys yr hafaliad.

$$9^{n+2}=249$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(9^{n+2})=\log(249)$$

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

$$\left(n+2\right)\log(9)=\log(249)$$

Rhannu’r ddwy ochr â \log(9).

$$n+2=\frac{\log(249)}{\log(9)}$$

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

$$n+2=\log_{9}\left(249\right)$$

Tynnu 2 o ddwy ochr yr hafaliad.

$$n=\frac{\log_{3}\left(249\right)}{2}-2$$