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26-02-2024
Mathematics

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If 4 to the power of 3 x plus 2 end exponent equals 16 to the power of x plus 4 end exponent, then x equals __________.

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dsloopz dsloopz

26-02-2024

Answer:

x = 6

Step-by-step explanation:

[tex]4^{3x+2} = 16^{x+4}\\4^{3x+2} = (4^2)^{x+4}\\3x+2=2(x+4)\\3x+2=2x+8\\x+2=8\\x=6[/tex]

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