Solve the equation. Put only integers or decimals for your answer.

Question

Solve the equation. Put only integers or decimals for your answer. $$ 3(4)^{x}=192 $$

UpStudy AI · Accepted Answer

To solve the equation $$ 3(4)^x = 192 $$:

1. **Divide both sides by 3**:
   $$
   4^x = \frac{192}{3} = 64
   $$

2. **Express 64 as a power of 4**:
   $$
   64 = 4^3
   $$

3. **Set the exponents equal**:
   $$
   4^x = 4^3 \implies x = 3
   $$

**Answer:**  
$$ x = 3 $$
$$ x = 3 $$

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