Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given: [tex](x,\frac{1}{100})[/tex] lies on the graph [tex]y=10^x[/tex]
Solution: For y=[tex]\frac{1}{100}[/tex], the given equation of the graph becomes,
[tex]y=10^x[/tex]
⇒[tex]\frac{1}{100}=10^x[/tex]
⇒[tex]10^{-2}=10^x[/tex]
Since, the base is same on both the sides, therefore equating the exponents, we get
[tex]x=-2[/tex]
Thus, the value of x is [tex]-2[/tex]
