My Learning Cart
?
Categories
Account

If log_10(1000) = x, what is the value of x?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If log_10(1000) = x, what is the value of x?

Options:

  1. 2
  2. 3
  3. 1
  4. 0

Correct Answer: 3

Solution: 

Since 1000 = 10^3, log_10(1000) = 3, thus x = 3.

If log_10(1000) = x, what is the value of x?

Practice Questions

Q1
If log_10(1000) = x, what is the value of x?
  1. 2
  2. 3
  3. 1
  4. 0

Questions & Step-by-Step Solutions

If log_10(1000) = x, what is the value of x?
  • Step 1: Understand that log_10(1000) means 'to what power do we raise 10 to get 1000?'
  • Step 2: Rewrite 1000 as a power of 10. We know that 1000 = 10^3.
  • Step 3: Now, substitute this back into the logarithm: log_10(1000) = log_10(10^3).
  • Step 4: Use the property of logarithms that says log_b(b^a) = a. Here, b is 10 and a is 3.
  • Step 5: Therefore, log_10(10^3) = 3.
  • Step 6: Conclude that x = 3.
  • Logarithms – Understanding the relationship between exponents and logarithms, specifically how to evaluate logarithms with base 10.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks