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cebw12
cebw12 cebw12
  • 06-01-2016
  • Mathematics
Answered

How do you solve 10(3^x) = 810 ?

Verified Answer :

pingwin09
pingwin09 pingwin09
  • 06-01-2016

3^x = 810/10
3^x = 81
Since 81 has a perfect fourth power of 3, which is 333*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


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Anonymous Anonymous
  • 06-01-2016
  • - To Start, Divide both sides by 10

    \(\frac{10(3^x)}{10} = \frac{810}{10}\)

    - -     Solve For The Exponent:

    \(3^{x} =81\)

    - - Now use log to solve:

    \(log(3x)=log(81)\)

    \(x*(log(3))=log(81)\)

    \(x= \frac{log(81)}{log(3) }\)

    \(x=4\)

    ~Hope this helps 

Answer Link

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