Match each solution to the equation. Not all answers will be used.(4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 10log 1000 log102 10log x =100 x = log 1000

Question

2,10^3,100,3,4,10000,10

Answer 1

Tomatch each solution to the equation \( 10 \log x = 100 \) and \( x = \log 1000 \), we can solve the equations:

1. For the equation \( 10 \log x = 100 \):

   • Dividing both sides by 10: \[ \log x = 10 \]
   • Converting from logarithmic to exponential form: \[ x = 10^{10} \]
   • So the solution for this equation is 10000.

2. For the equation \( x = \log 1000 \):

   • Using the change of base: \[ \log 1000 = \log(10^3) = 3 \]
   • So the solution for this equation is 3.

Summary of Matches:

• 10 log x = 100 → 10000
• x = log 1000 → 3

Responses to insert:

• 10000 for \( 10 \log x = 100 \)
• 3 for \( x = \log 1000 \)