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30 votes
30 votes
Solve 3(10)^x = 30,000

User Athar
by
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2 Answers

23 votes
23 votes
Try to get x isolated on one side.
Divide by 3 on both sides.
(10)^x = 10,000
Count how many zeroes there are in the number 10,000. There are 4 zeroes, therefore 10 was raised to the 4th power to get to 10,000.
That means “x” is 4. Hope this helps :)
User Ngatia Frankline
by
3.3k points
18 votes
18 votes

Answer: x = 4

Explanation:

We will need to use logs here...

First divide each side by 3


3(10)^x=30000


10^x=10000

Then take the log of each side

Keep in mind that
log_(10) (10) gets canceled out to leave x


log_(10) (10^x)=log(10000)

Finally, log(10000) = 4 because
10^4=10000


x = 4

User Kynrek
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2.6k points