If \( x=3 \), solve for \( y \) \( y=5 \cdot 2^{x} \) \( y=[?] \)
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To find \( y \) when \( x = 3 \), substitute the value of \( x \) into the equation: \[ y = 5 \cdot 2^{3} \] Calculating \( 2^3 \) gives \( 8 \), so we have: \[ y = 5 \cdot 8 \] Thus, \[ y = 40 \] So, \( y = 40 \)! If you ever find yourself in a situation with exponential equations, remember that substituting numbers in step by step can help clarify what you’re working with. Break it down piece by piece, and soon those powers won't seem so daunting! Also, don’t forget to double-check your calculations! A common mistake is miscalculating powers or multiplication. When working with exponents, it’s easy to slip up, so take a moment to ensure every step is spot on!