1) 3^b=9 root 3
2) 3^c= 1/√3

1) 5/2

2) c = - 1 /2

Step-by-step explanation:

1) 3^b = 9 root 3

Write in exponential form

write the expression in exponential form with the base of 3

3^b = 3 ^ 5/2

Since the bases are the same , set the exponents eqaul

b = 5/2

Therefore, your answer is 5/2

2) 3 ^ c = 1/√3

Write in exponential form

Write the expression in exponential form with the base of 3

3^c = 3 ^ -1/2

Since the bases are the same , set the exponents equal

c = - 1/2

Therefore, the answer is c = - 1/2