My Learning Cart
?
Categories
Account

What is the value of log4(16)?

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

What’s inside this PDF?

Question: What is the value of log4(16)?

Options:

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

Correct Answer: 2

Solution: 

log4(16) = log4(4^2) = 2.

What is the value of log4(16)?

Practice Questions

Q1
What is the value of log4(16)?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

What is the value of log4(16)?
Correct Answer: 2
  • Step 1: Understand what log4(16) means. It asks, 'To what power do we raise 4 to get 16?'
  • Step 2: Recognize that 16 can be written as 4 raised to a power. Specifically, 16 is the same as 4^2.
  • Step 3: Rewrite log4(16) using this information: log4(16) = log4(4^2).
  • Step 4: Use the property of logarithms that says logb(a^c) = c * logb(a). Here, b is 4, a is 4, and c is 2.
  • Step 5: Apply this property: log4(4^2) = 2 * log4(4).
  • Step 6: Since log4(4) equals 1 (because 4 raised to the power of 1 is 4), we have: log4(4^2) = 2 * 1.
  • Step 7: Therefore, log4(16) = 2.
No concepts available.
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