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If log5(125) = x, what is the value of x?
Practice Questions
Q1
If log5(125) = x, what is the value of x?
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Questions & Step-by-Step Solutions
If log5(125) = x, what is the value of x?
Steps
Concepts
Step 1: Understand that log5(125) means 'to what power must 5 be raised to get 125?'
Step 2: Recognize that 125 can be written as 5 raised to a power. Specifically, 125 = 5^3.
Step 3: Rewrite the logarithm using this information: log5(125) = log5(5^3).
Step 4: Use the property of logarithms that states logb(b^n) = n. Here, b is 5 and n is 3.
Step 5: Apply this property: log5(5^3) = 3.
Step 6: Conclude that x = 3.
Logarithmic Properties
– Understanding how to simplify logarithms using the property that log_b(a^c) = c * log_b(a).
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