What is the answer to (2^{3(c-3)})/(2^3)=2^2 ?

The answer to (2^{3(c-3)})/(2^3)=2^2 is c= 14/3

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(2^{3(c-3)})/(2^3)=2^2

\frac{2 ^{3 (c - 3)}}{2 ^{3}} = 2^{2}

c = \frac{14}{3}

Solution steps

\frac{2 ^{3 (c - 3)}}{2 ^{3}} = 2^{2}

Apply exponent rules

3 c - 12 = 2

Solve

3 c - 12 = 2 : c = \frac{14}{3}

c = \frac{14}{3}

2 \cdot 3^{x} = 162

2^{y + 1} = 5

69 = 1 1^{x}

2^{2 x} = 5^{1 - 2 x}

2 \cdot 3^{x} = 5^{2 x}

What is the answer to (2^{3(c-3)})/(2^3)=2^2 ?
The answer to (2^{3(c-3)})/(2^3)=2^2 is c= 14/3
Solve for c: (2^{3(c-3)})/(2^3)=2^2
The solution is c= 14/3