My Learning Cart
?
Categories
Account

If log(x) + log(2) = 3, 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(x) + log(2) = 3, what is the value of x?

Options:

  1. 1000
  2. 2000
  3. 500
  4. 300

Correct Answer: 1000

Solution: 

log(2x) = 3 => 2x = 10^3 => x = 1000.

If log(x) + log(2) = 3, what is the value of x?

Practice Questions

Q1
If log(x) + log(2) = 3, what is the value of x?
  1. 1000
  2. 2000
  3. 500
  4. 300

Questions & Step-by-Step Solutions

If log(x) + log(2) = 3, what is the value of x?
Correct Answer: 1000
  • Step 1: Start with the equation log(x) + log(2) = 3.
  • Step 2: Use the property of logarithms that says log(a) + log(b) = log(ab). So, combine the logs: log(2x) = 3.
  • Step 3: Rewrite the equation in exponential form. This means that if log(2x) = 3, then 2x = 10^3.
  • Step 4: Calculate 10^3, which is 1000. So now we have 2x = 1000.
  • Step 5: To find x, divide both sides of the equation by 2: x = 1000 / 2.
  • Step 6: Calculate 1000 / 2, which equals 500. Therefore, x = 500.
  • Logarithmic Properties – Understanding how to combine logarithms and apply the properties of logarithms to solve for variables.
  • Exponential Equations – Converting logarithmic equations into exponential form to isolate the variable.
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