Questions: If 4^(2x-3)=4^3, then =3.

If 4^(2x-3)=4^3, then =3.
Transcript text: If $4^{2 x-3}=4^{3}$, then $\square$ $=3$.
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Solution

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Solution Steps

Step 1: Understand the Equation

The given equation is \(4^{2x-3} = 4^3\). Since the bases are the same, we can equate the exponents.

Step 2: Equate the Exponents

Set the exponents equal to each other:

\[ 2x - 3 = 3 \]

Step 3: Solve for \(x\)

Add 3 to both sides of the equation:

\[ 2x = 6 \]

Divide both sides by 2:

\[ x = 3 \]

Final Answer

The value of \(x\) that makes the statement true is \(\boxed{3}\).

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