My Learning Cart
?
Categories
Account

If logx(81) = 4, 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 logx(81) = 4, what is the value of x?

Options:

  1. 3
  2. 4
  3. 5
  4. 6

Correct Answer: 3

Solution: 

x = 81^(1/4) = 3.

If logx(81) = 4, what is the value of x?

Practice Questions

Q1
If logx(81) = 4, what is the value of x?
  1. 3
  2. 4
  3. 5
  4. 6

Questions & Step-by-Step Solutions

If logx(81) = 4, what is the value of x?
Correct Answer: 3
  • Step 1: Understand the equation logx(81) = 4. This means that x raised to the power of 4 equals 81.
  • Step 2: Rewrite the equation in exponential form: x^4 = 81.
  • Step 3: To find x, we need to take the fourth root of 81. This can be written as x = 81^(1/4).
  • Step 4: Calculate the fourth root of 81. Since 81 is 3^4, we have 81^(1/4) = (3^4)^(1/4) = 3.
  • Step 5: Therefore, the value of x is 3.
  • Logarithmic Equations – Understanding how to manipulate logarithmic equations to solve for the base.
  • Exponents – Applying exponent rules to find the value of x from the logarithmic equation.
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