Solving Exponents and Logarithms

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

Tags

CCSS.HSF.BF.B.5

2log (2x)⁴ = 16

• x = 4
• x = 10
• x = 50
• x = 2

log x - log 8 = 3

• x = 1000

• x = 800

• x = 8000

• x = 100

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

To solve, 16^5x = 64^x+7, what would be the correct set-up?

There is more than one correct answer.

• 4^4(5x)=4^16(x+7)

• 8^2(5x)=8^8(x+7)

• 4^2(5x)=4^3(x+7)

• 2^4(5x)=2^6(x+7)

Solve the equation for x.

• 22.198
• e
• 1.131
• 21.66

Tags

CCSS.HSF.BF.B.5