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4. Solve for \( x \) in the following equation. \( 4^{x+3}=4^{9} \)

Ask by Davey Fuentes. in the United States
Mar 14,2025

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\( x = 6 \)

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Since the bases are the same in the equation \( 4^{x+3}=4^{9} \), we can set the exponents equal to each other. This means: \( x + 3 = 9 \) Now, we can solve for \( x \) by subtracting 3 from both sides: \( x = 9 - 3 \) Therefore, \( x = 6 \). So, the solution is \( x = 6 \).

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