Question: If log10(0.1) = x, what is the value of x?
Options:
-1
0
1
2
Correct Answer: -1
Solution:
log10(0.1) = log10(10^-1) = -1.
If log10(0.1) = x, what is the value of x?
Practice Questions
Q1
If log10(0.1) = x, what is the value of x?
-1
0
1
2
Questions & Step-by-Step Solutions
If log10(0.1) = x, what is the value of x?
Step 1: Understand that log10 means 'logarithm base 10'.
Step 2: We need to find the value of log10(0.1).
Step 3: Rewrite 0.1 as a power of 10. We know that 0.1 is the same as 10 raised to the power of -1 (0.1 = 10^-1).
Step 4: Now we can rewrite the logarithm: log10(0.1) = log10(10^-1).
Step 5: Use the property of logarithms that says log10(10^a) = a. Here, a is -1.
Step 6: Therefore, log10(10^-1) = -1.
Step 7: So, we find that x = -1.
Logarithmic Properties – Understanding the relationship between logarithms and exponents, specifically how to express numbers in terms of powers of 10.
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