Logarithmic Equations

Solve the equation log(x) = 2 for x.

• 10

• 5

• 100

• 25

Tags

CCSS.HSF.BF.B.5

If log(a) - log(b) = 3, and log(a) + log(b) = 5, find the values of a and b.

• a = 75 and b = 15

• a = 200 and b = 20

• a = 50 and b = 5

• The values of a and b are a = 100 and b = 10.

Solve the equation log(2x) - log(3) = 1 for x.

• x = 3 * e

• x = 2 * e

• x = 2 / e

• x = 3 / e

If log(x) + log(x-2) = 2, find the value of x.

• x = 12

• x = 10

• x = -3

• x = 5

Solve the equation 2log(x) = log(8) for x.

• x = 4

• x = ±2√2

• x = 16

• x = -4

Tags

CCSS.HSF.BF.B.5

If log(2x) = 3log(4), find the value of x.

• 16

• 32

• 8

• 64

Solve the equation log(x+1) + log(x-1) = 2 for x.

• x = 1

• x = -1

• x = ±√101

• x = 0

If log(a) - log(b) = 2, and log(a) + log(b) = 4, find the values of a and b.

• a = 25, b = 1

• a = 100, b = 1

• a = 50, b = 2

• a = 10, b = 0.1

Solve the equation log(3x) - log(2) = 2 for x.

• x = 150/3

• x = 200/3

• x = 50/3

• x = 100/3

If log(x) + log(x-3) = 1, find the value of x.

• x = 12

• x = 5

• x = 7

• x = 10