Question 38
The three positive integers $a, b$ and $c$ satisfy
$$
4^{a} \cdot 5^{b} \cdot 6^{c}=8^{8} \cdot 9^{9} \cdot 10^{10}
$$
Determine the value of $a+b+c$.
$$
4^{a} \cdot 5^{b} \cdot 6^{c}=8^{8} \cdot 9^{9} \cdot 10^{10}
$$
Determine the value of $a+b+c$.