Questions: What is the value of x ? 12^(3 x)=12^15

What is the value of x ? 12^(3 x)=12^15
Transcript text: Question 2 (1 point) What is the value of $x$ ? \[ 12^{3 x}=12^{15} \] Just type the number, do not put $x=$ $\square$ A
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Solution

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Solution Steps

Step 1: Recognize the equation

The given equation is \( 12^{3x} = 12^{15} \). Since the bases are the same, the exponents must be equal.

Step 2: Set the exponents equal

Set the exponents equal to each other: \( 3x = 15 \).

Step 3: Solve for \( x \)

Divide both sides of the equation by 3 to solve for \( x \): \[ x = \frac{15}{3} = 5. \]

Final Answer

\(\boxed{5}\)

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