Solved: Solve for $x$ in the equation: $2^{3x-1} = 32$

Question

Solve for $x$ in the equation: $2^{3x-1} = 32$

Verified Answer

$x = 2$

Explanation & Step-by-Step Solving

Solving: Convert 32 to base 2: $32 = 2^5$ . Equate bases: $2^{3x-1} = 2^5 \implies 3x - 1 = 5 \implies 3x = 6 \implies x = 2$ .

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