Question

What is the missing exponent? If it does not exist, enter DNE

Answer 1

Solution:

$\begin{gathered} (a)5.5^0=1 \\ Answer=\text{ 0} \\ \\ (b)1^{\placeholder{⬚}}=0 \\ Answer=DNE \\ \\ (c)9^x=3 \\ 3^{2x}=3^1 \\ 2x=1 \\ x=\frac{1}{2} \\ Answer=\frac{1}{2} \\ \\ (d)1000^x=10^1 \\ 10^{3x}=10^1 \\ 3x=1 \\ x=\frac{1}{3} \\ Answer=\frac{1}{3} \\ \\ (e)16^x=2 \\ 2^{4x}=2^1 \\ 4x=1 \\ x=\frac{1}{4} \\ Answer=\frac{1}{4} \end{gathered}$