Question

Solve 3(10)^x = 30,000

Answer 1

Answer: x = 4

Step-by-step 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 $10^4=10000$

$x = 4$

Answer 2

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 :)