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solve 3(10)^x = 30,000

Sagot :

rdacoder

Answer: x = 4

Step-by-step explanation:

We will need to use logs here...

First divide each side by 3

[tex]3(10)^x=30000[/tex]

[tex]10^x=10000[/tex]

Then take the log of each side

Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x

[tex]log_{10} (10^x)=log(10000)[/tex]

Finally, log(10000) = 4 because [tex]10^4=10000[/tex]

[tex]x = 4[/tex]

sandlerian
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 :)
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