Solve for $17^{x}$ if $\log_{3} ((- 26) + 17^{x}) = 3$ .
$17^{x} =$

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Finally, we simplify to get $17^{x} = 53$ .

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Step 1 ：First, we rewrite the equation using the property of logarithms, which states that $\log_{b} a^{n} = n \log_{b} a$ . So, we have $\log_{3} (- 26 + 17^{x}) = 3$ .

Step 2 ：Next, we convert the logarithmic equation to an exponential equation. This gives us $3^{3} = - 26 + 17^{x}$ .

Step 3 ：Solving for $17^{x}$ , we get $17^{x} = 3^{3} + 26$ .

Step 4 ：Substituting the values, we get $17^{x} = 27 + 26$ .

Step 5 ：Finally, we simplify to get $17^{x} = 53$ .

Solve for 17x if log3⁡((−26)+17x)=3.17x=

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Solve for $17^{x}$ if $\log_{3} ((- 26) + 17^{x}) = 3$ .
$17^{x} =$