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If logx(16) = 4, what is the value of x?

Practice Questions

Q1

If logx(16) = 4, what is the value of x?

2
4
8
16

Questions & Step-by-Step Solutions

If logx(16) = 4, what is the value of x?

Correct Answer: 2

Step 1: Start with the equation logx(16) = 4.
Step 2: Rewrite the logarithmic equation in exponential form. This means we can express it as x^4 = 16.
Step 3: To find x, we need to isolate it. We can do this by taking the fourth root of both sides of the equation.
Step 4: The fourth root of 16 can be calculated as 16^(1/4).
Step 5: Calculate 16^(1/4). Since 16 is 2^4, the fourth root of 16 is 2.
Step 6: Therefore, the value of x is 2.

Logarithmic Equations – Understanding how to manipulate logarithmic equations to solve for the base.
Exponents – Applying exponent rules to find the value of x from the logarithmic equation.

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