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If log_x(27) = 3, find x.
Practice Questions
Q1
If log_x(27) = 3, find x.
3
9
27
81
Questions & Step-by-Step Solutions
If log_x(27) = 3, find x.
Correct Answer: 3
Steps
Concepts
Step 1: Understand the equation log_x(27) = 3. This means that x raised to the power of 3 equals 27.
Step 2: Rewrite the equation in exponential form: x^3 = 27.
Step 3: To find x, we need to solve the equation x^3 = 27.
Step 4: Take the cube root of both sides of the equation: x = 27^(1/3).
Step 5: Calculate the cube root of 27. Since 3 * 3 * 3 = 27, we find that x = 3.
Logarithmic Equations
– Understanding how to manipulate logarithmic equations to find the base.
Exponential Form
– Converting logarithmic expressions into exponential form to solve for the variable.
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