My Learning Cart
?
Categories
Account

If log5(125) = 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 log5(125) = x, what is the value of x?

Options:

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

Correct Answer: 3

Solution: 

log5(125) = log5(5^3) = 3.

If log5(125) = x, what is the value of x?

Practice Questions

Q1
If log5(125) = x, what is the value of x?
  1. 1
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If log5(125) = x, what is the value of x?
  • Step 1: Understand that log5(125) means 'to what power must 5 be raised to get 125?'
  • Step 2: Recognize that 125 can be written as 5 raised to a power. Specifically, 125 = 5^3.
  • Step 3: Rewrite the logarithm using this information: log5(125) = log5(5^3).
  • Step 4: Use the property of logarithms that states logb(b^n) = n. Here, b is 5 and n is 3.
  • Step 5: Apply this property: log5(5^3) = 3.
  • Step 6: Conclude that x = 3.
  • Logarithmic Properties – Understanding how to simplify logarithms using the property that log_b(a^c) = c * log_b(a).
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