Question

solve: \\(3,125 = 5^{-10 + 3x}\\)
\\(x = \\)

Explanation:

⚡ Using what you learned: Solving Exponential Equations

Step 1: Express both sides with the same base

$$ 3,125 = 5^5 $$

$$ 5^5 = 5^{-10 + 3x} $$

Step 2: Equate the exponents

$$ 5 = -10 + 3x $$

Step 3: Solve for \( x \)

$$ 15 = 3x $$

$$ x = 5 $$

Answer:

\( 5 \)