Find \(a, b, c\) if \(1176 = 2^a \times 3^b \times 7^c\)
Solution
\[ 1176 = 2^3 \times 3^1 \times 7^2 \]
\[ \text{Comparing with } 2^a \times 3^b \times 7^c \]
\[ a = 3,\quad b = 1,\quad c = 2 \]
Final Answer:
\[ \boxed{a=3,\; b=1,\; c=2} \]
\[ 1176 = 2^3 \times 3^1 \times 7^2 \]
\[ \text{Comparing with } 2^a \times 3^b \times 7^c \]
\[ a = 3,\quad b = 1,\quad c = 2 \]
\[ \boxed{a=3,\; b=1,\; c=2} \]