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If log10(5) = a, what is log10(25) in terms of a?
If log10(5) = a, what is log10(25) in terms of a?
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Practice Questions
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Q1
If log10(5) = a, what is log10(25) in terms of a?
2a
a
a/2
4a
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log10(25) = log10(5^2) = 2 * log10(5) = 2a.
Questions & Step-by-step Solutions
1 item
Q
Q: If log10(5) = a, what is log10(25) in terms of a?
Solution:
log10(25) = log10(5^2) = 2 * log10(5) = 2a.
Steps: 6
Show Steps
Step 1: Understand that log10(5) is given as 'a'.
Step 2: Recognize that 25 can be written as 5 squared (5^2).
Step 3: Use the logarithm property that states log10(x^y) = y * log10(x).
Step 4: Apply this property to log10(25): log10(25) = log10(5^2).
Step 5: Rewrite log10(25) using the property: log10(25) = 2 * log10(5).
Step 6: Substitute log10(5) with 'a': log10(25) = 2 * a.
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