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Solve the following equation for x: log2x=3

A. x = 2^3
B. x = 3^2
C. x = 8
D. x = 9

User Evolutio
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1 Answer

4 votes

Final answer:

To solve the equation log2x=3, rewrite it as an exponential equation by raising 2 to the power of 3. The solution is x = 8.

Step-by-step explanation:

To solve the equation log2x=3, we need to use the definition of logarithms. In this case, the logarithm is base 2 (as indicated by the 'log2' notation), so we want to find the value of x that satisfies the equation. To isolate x, we can rewrite the equation as an exponential equation:

2 3 = x

So, the solution to the equation is x = 8. Therefore, the correct answer is C. x = 8.

User Steven Schroeder
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