Recognize Base of 125: Step Title: Recognize the Base of 125 Short Reasoning: Identify that 125 can be expressed as a power of 5. Calculation: 125 = 5^3Set Exponents Equal: Step Title: Set the Exponents Equal Short Reasoning: Since the bases are the same (5), set the exponents equal to each other. Calculation: 3x - 3 = 3Solve for x: Step Title: Solve for x Short Reasoning: Isolate x by solving the equation. Calculation: 3x = 3 + 3; 3x = 6; x = 6 / 3; x = 2

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Solve for $x$ $\newline$ $5^{3 x-3}=125$

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Q. Solve for

x

\newline

5^{3 x-3}=125

Recognize Base of $125$ : Step Title: Recognize the Base of $125$ $\newline$ Short Reasoning: Identify that $125$ can be expressed as a power of $5$ . $\newline$ Calculation: $125 = 5^3$
Set Exponents Equal: Step Title: Set the Exponents Equal $\newline$ Short Reasoning: Since the bases are the same $5$ , set the exponents equal to each other. $\newline$ Calculation: $3x - 3 = 3$
Solve for $x$ : Step Title: Solve for $x$ Short Reasoning: Isolate $x$ by solving the equation. Calculation: $3x = 3 + 3$ ; $3x = 6$ ; $x = 6 / 3$ ; $x = 2$