Answer:
[tex]2^{2x}=100[/tex]
Step-by-step explanation:
we have
[tex]2^{x}=10[/tex]
Remember that
[tex](a^{b})^{x} =a^{bx}[/tex]
therefore
In this problem
[tex]2^{2x}=(2^{x})^{2}[/tex]
substitute the value of [tex]2^{x}=10[/tex]
[tex]2^{2x}=(10)^{2}[/tex]
[tex]2^{2x}=100[/tex]
