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Which of the following is equivalent to log10(0.01)?
Which of the following is equivalent to log10(0.01)?
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Practice Questions
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Q1
Which of the following is equivalent to log10(0.01)?
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log10(0.01) = log10(10^-2) = -2.
Questions & Step-by-step Solutions
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Q
Q: Which of the following is equivalent to log10(0.01)?
Solution:
log10(0.01) = log10(10^-2) = -2.
Steps: 4
Show Steps
Step 1: Understand that log10 means we are looking for the power to which 10 must be raised to get a certain number.
Step 2: Rewrite 0.01 in terms of a power of 10. We know that 0.01 is the same as 10 raised to the power of -2 (because 10^-2 = 1/10^2 = 1/100 = 0.01).
Step 3: Now we can rewrite the logarithm: log10(0.01) becomes log10(10^-2).
Step 4: Use the property of logarithms that says log10(10^x) = x. So, log10(10^-2) = -2.
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