Answer: Second Option
[tex]b > 49[/tex]
Step-by-step explanation:
We have the following expression:
[tex]log_7(b) > 2[/tex]
We have the following expression:
To solve the expression, apply the inverse of [tex]log_7[/tex] on both sides of the equality.
Remember that:[tex]b ^ {log_b (x)} = x[/tex]
So we have to:
[tex]7^{log_7(b)} > 7^2[/tex]
[tex]b > 7^2[/tex]
[tex]b > 49[/tex]
The answer is the second option