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If 10^x = 0.01, what is the value of x?
Practice Questions
Q1
If 10^x = 0.01, what is the value of x?
-2
-1
0
1
Questions & Step-by-Step Solutions
If 10^x = 0.01, what is the value of x?
Steps
Concepts
Step 1: Understand the equation 10^x = 0.01.
Step 2: Rewrite 0.01 in terms of a power of 10.
Step 3: Recognize that 0.01 is the same as 10 raised to the power of -2 (0.01 = 10^(-2)).
Step 4: Set the exponents equal to each other since the bases (10) are the same: x = -2.
Step 5: Conclude that the value of x is -2.
Exponential Equations
– Understanding how to manipulate and solve equations involving exponents.
Logarithmic Relationships
– Recognizing the relationship between exponential forms and their logarithmic equivalents.
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