Question

PLS HELP ME I'M SO CONFUSED!!!!!!

Answer 1

Answer:

• a = -3, b = 2.5, c = - 1/2

Step-by-step explanation:

1)

• $3^a=1/27$
• $3^a=1/3^3$
• $3^a=3^{-3}$
• $a=-3$

2)

• $3^b=9\sqrt{3}$
• $3^b=3^2*3^{1/2}$
• $3^b=3^{2+1/2}$
• $3^b=3^{2.5}$
• $b=2.5$

3)

• $3^c=1/\sqrt{3}$
• $3^c=1/3^{1/2}$
• $3^c=3^{-1/2}$
• $c = - 1/2$

Answer 2

Step-by-step explanation:

You have to use logarithms.

1) a = log_3 (1/27) = -log_3 (27) = -3

2) b = log_3 (9 * 3^(1/2)) = log_3 (3 ^ {5/2}) = 5/2

3) c = -log_3 (sqrt3) = -1/2