My Learning Cart
?
Categories
Account

If log10(0.1) = b, what is the value of b?

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

What’s inside this PDF?

Question: If log10(0.1) = b, what is the value of b?

Options:

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

Correct Answer: -1

Solution: 

log10(0.1) = -1, since 0.1 = 10^-1.

If log10(0.1) = b, what is the value of b?

Practice Questions

Q1
If log10(0.1) = b, what is the value of b?
  1. -1
  2. 0
  3. 1
  4. 2

Questions & Step-by-Step Solutions

If log10(0.1) = b, what is the value of b?
  • Step 1: Understand that log10(x) means 'to what power must 10 be raised to get x'.
  • Step 2: We need to find log10(0.1).
  • Step 3: Rewrite 0.1 as a power of 10. We know that 0.1 = 1/10 = 10^-1.
  • Step 4: Now we can say log10(0.1) = log10(10^-1).
  • Step 5: According to the properties of logarithms, log10(10^x) = x. So, log10(10^-1) = -1.
  • Step 6: Therefore, we find that b = -1.
  • Logarithms – Understanding the relationship between logarithms and exponents, specifically how to convert between the two.
  • Base 10 Logarithm – Recognizing that log10(x) represents the power to which 10 must be raised to obtain x.
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