Study Guide Review PC Quiz 4.3

3^{2x – 6}  = 81

• x = log 4
• x = 5
• x = 4
• x = -1

2 * 4^{3x – 6} – 8 = 120

• x = 3
• x = 4
• x = 2.9
• x = 8

log₂(2) + log₂(8x) = 6

• x = 3
• x = 2
• x = 6
• x = 4

log₆(2x + 3) = 3

• x = 106.5
• x = 100
• x = 16
• x = 50

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

Solve for x.

• no solution
• only 6
• 6 and -2
• 3

Solve.
e^4x=12

• 2.48
• 9.94
• 0.62
• 3

Solve. 
4^(6x-12)=7

• 1.40
• 2.23
• 13.40
• 3