We need to solve the equation $\log(x) = 3$ for $x$. The logarithm is assumed to be base 10.

AlgebraLogarithmExponential FunctionBase 10
2025/3/8

1. Problem Description

We need to solve the equation log(x)=3\log(x) = 3 for xx. The logarithm is assumed to be base
1
0.

2. Solution Steps

The equation is log(x)=3\log(x) = 3.
By definition of the logarithm, if logb(x)=y\log_b(x) = y, then x=byx = b^y. Since the base of the logarithm is not explicitly specified, we assume it is base
1

0. So, $\log_{10}(x) = 3$.

Therefore, x=103x = 10^3.
103=10×10×10=100010^3 = 10 \times 10 \times 10 = 1000.

3. Final Answer

x=1000x = 1000

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