Math Problem Statement

4^(5x + 1 )= 5^(x − 4) (a) Find the exact solution of the exponential equation in terms of logarithms.

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Equations
Logarithms
Algebra

Formulas

Logarithmic power rule: ln(a^b) = b * ln(a)
Equation: 4^(5x + 1) = 5^(x − 4)

Theorems

Logarithm properties

Suitable Grade Level

Grades 10-12