What is the answer to 3/4*2^{n-2}=768 ?

The answer to 3/4*2^{n-2}=768 is n=12

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3/4*2^{n-2}=768

\frac{3}{4} \cdot 2^{n - 2} = 768

n = 12

Solution steps

\frac{3}{4} \cdot 2^{n - 2} = 768

Multiply both sides by

4

3 \cdot 2^{n - 2} = 3072

Divide both sides by

3

2^{n - 2} = 1024

Apply exponent rules

n - 2 = 10

Solve

n - 2 = 10 : n = 12

n = 12

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