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If log_a(4) = 2, what is the value of a?
If log_a(4) = 2, what is the value of a?
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Q1
If log_a(4) = 2, what is the value of a?
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log_a(4) = 2 implies a^2 = 4 => a = 2.
Questions & Step-by-step Solutions
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Q
Q: If log_a(4) = 2, what is the value of a?
Solution:
log_a(4) = 2 implies a^2 = 4 => a = 2.
Steps: 5
Show Steps
Step 1: Understand the equation log_a(4) = 2. This means that 'a' raised to the power of 2 equals 4.
Step 2: Rewrite the equation in exponential form: a^2 = 4.
Step 3: Solve for 'a' by taking the square root of both sides: a = √4.
Step 4: Calculate the square root of 4, which is 2.
Step 5: Conclude that the value of 'a' is 2.
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