Datrys 76=7^x+2

$$76 = 7 ^ { x } + 2$$

Datrys ar gyfer x

$$x=\log_{7}\left(74\right)\approx 2.211851917$$

Camau gan Ddefnyddio Diffiniad Logarithm

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

$$7^{x}+2=76$$

Tynnu 2 o ddwy ochr yr hafaliad.

$$7^{x}=74$$

Cymryd logarithm dwy ochr yr hafaliad.

$$\log(7^{x})=\log(74)$$

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

$$x\log(7)=\log(74)$$

Rhannu’r ddwy ochr â \log(7).

$$x=\frac{\log(74)}{\log(7)}$$

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

$$x=\log_{7}\left(74\right)$$

Datrys ar gyfer x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(7)}+\log_{7}\left(74\right)$$

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