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8^(2x-9)=8^(x)

$1$ . $8^{2 x-9}=8^{x}$

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Factor sums and differences of cubes

Full solution

Q.

1

.

8^{2 x-9}=8^{x}

Set Exponents Equal: Since the bases are the same, we can set the exponents equal to each other: $2x - 9 = x$ .
Subtract and Isolate x: Subtract $x$ from both sides to isolate $x$ : $2x - x = 9$ .
Simplify Equation: Simplify the equation: $x = 9$ .

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