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If logx(27) = 3, what is the value of x?
Practice Questions
Q1
If logx(27) = 3, what is the value of x?
3
9
27
81
Questions & Step-by-Step Solutions
If logx(27) = 3, what is the value of x?
Correct Answer: 3
Steps
Concepts
Step 1: Start with the equation logx(27) = 3.
Step 2: Rewrite the logarithmic equation in exponential form. This means we can express it as x^3 = 27.
Step 3: To find x, we need to isolate it. We can do this by taking the cube root of both sides of the equation.
Step 4: The cube root of 27 is 3, so we have x = 3.
Logarithmic Equations
– Understanding how to manipulate logarithmic equations to solve for the base.
Exponents and Roots
– Applying the properties of exponents and roots to find the value of x.
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