Question

if 27^x+1=9^x+3 then x=​

Answer 1

Answer:

Value of x is 4

Step-by-step explanation:

$= > 27 {}^{x + 1} = 9 {}^{x + 3} \\ \\ = > (3) {}^{3(x + 1)} = (3) {}^{2(x + 3)} \\ \\ = > {3}^{3x + 2} = {3}^{2x + 6} \\ \\ here \: \: bases \: \: are \: \: same \: \: so \: \: we \\ equate \: \: powers. \\ \\ = > 3x + 2 = 2x + 6 \\ \\ = > 3x - 2x = 6 - 2 \\ \\ = > x = 4$

Thus the value of x is 4

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