Answer: [tex]10^2=100[/tex]
Step-by-step explanation:
By definition you have that you can write:
[tex]log_b(a)=c[/tex]
as following:
[tex]b^c=a[/tex]
Therefore, keeping the information above on mind, you can write the following  equivalent exponential equation for the exppresion given in the problem ( [tex]log_{10}(100)=2[/tex]):
[tex]10^2=100[/tex]
Therefore, the answer is : [tex]10^2=100[/tex]
