Answer:
20
Step-by-step explanation:
100 expressed as a logarithm to base 10 will be [tex]10^{10}[/tex]
The question is then framed as
[tex]10^{0.5w}=10^{10}[/tex]
Introduce logs on both ends
[tex]log10^{0.5w}=log10^{10}[/tex]
Since both sides have base of 10 then we drop the bases and solve the question as
0.5w=10
Making w the subject of the formula
w=10/0.5=20
Therefore, w=20
