Math Problem Statement

5^{\small x} +5^{\small{x+2}}+5^{\small{x+5}}=3^{\small x} +3^{\small{x+3}}

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Equations
Logarithms
Factoring

Formulas

a^m + a^{m+k} = a^m(1 + a^k)
Logarithmic identity: log(ab) = log(a) + log(b)
Logarithmic identity: log(a^b) = b*log(a)

Theorems

Laws of Exponents
Properties of Logarithms

Suitable Grade Level

Grades 11-12