Math Problem Statement

Only give answer

log_3 x = -6

Solution

To solve log⁡3x=−6\log_3 x = -6:

x=3−6=136=1729x = 3^{-6} = \frac{1}{3^6} = \frac{1}{729}

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(a) = c ↔ b^c = a

Theorems

Exponential and Logarithmic Relationship

Suitable Grade Level

Grades 9-12

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