Answer :
3^x = 810/10
3^x = 81
Since 81 has a perfect fourth power of 3, which is 3*3*3*3 = 3^4 = 81
3^x = 3^4
You can easily remove the similar bases (which is 3) and bring down the exponent.
x = 4
3^x = 81
Since 81 has a perfect fourth power of 3, which is 3*3*3*3 = 3^4 = 81
3^x = 3^4
You can easily remove the similar bases (which is 3) and bring down the exponent.
x = 4
- - To Start, Divide both sides by 10
[tex] \frac{10(3^x)}{10} = \frac{810}{10} [/tex]
- - Solve For The Exponent:
[tex]3^{x} =81[/tex]
- - Now use log to solve:
[tex]log(3x)=log(81)[/tex]
[tex]x*(log(3))=log(81)[/tex]
[tex]x= \frac{log(81)}{log(3) } [/tex]
[tex]x=4[/tex]
~Hope this helps
[tex] \frac{10(3^x)}{10} = \frac{810}{10} [/tex]
- - Solve For The Exponent:
[tex]3^{x} =81[/tex]
- - Now use log to solve:
[tex]log(3x)=log(81)[/tex]
[tex]x*(log(3))=log(81)[/tex]
[tex]x= \frac{log(81)}{log(3) } [/tex]
[tex]x=4[/tex]
~Hope this helps