Solving Exponential Equations: Examples Involving Exponents and Logarithms

Math Problem Statement

solve this exponential equation

Solve the exponential equation: 1. 2^x = 32, 2. 3^x = 1/9, 3. 2^(x+1) = 64, 4. (1/3)^x = 27, 5. 4^x = 1/2

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Exponents
Logarithms
Exponential Equations

a^x = b ⟹ x = log_a(b)
a^(m+n) = a^m * a^n
a^(-n) = 1/a^n

Laws of Exponents
Change of Base Theorem

Grades 8-10

Solving Exponential Equations for x - General Mathematics

How to Solve Exponential Equations: Step-by-Step Examples

Solving Exponential Equations with Step-by-Step Solutions

Solve Exponential and Logarithmic Equations: 4^(2x+5) = 32^(4−x) and log3 2 + 2log3 x = log3 (7x − 3)

Solve the Exponential Equation 2^{2x} = 32