The problem is to solve the equation $\log(x) = 3$. The logarithm is base 10.

AlgebraLogarithmsExponential EquationsSolving Equations
2025/5/2

1. Problem Description

The problem is to solve the equation log(x)=3\log(x) = 3. The logarithm is base
1
0.

2. Solution Steps

To solve the equation log(x)=3\log(x) = 3, we need to rewrite the equation in exponential form. Since the logarithm is base 10, the equation can be rewritten as:
103=x10^3 = x
Calculating 10310^3:
103=10×10×10=100010^3 = 10 \times 10 \times 10 = 1000
Therefore, x=1000x = 1000.

3. Final Answer

x=1000x = 1000

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