Logarithmic Properties

Simplify log(base 2) 8 + log(base 2) 32

• 8

• 16

• 40

• 10

Expand log(base 3) 27 - log(base 3) 9

• 2

• 1

• 3

• 5

Combine log(base 5) 25 - log(base 5) 5

• 1

• log(base 5) 30

• log(base 5) 125

• log(base 5) 5 - log(base 5) 25

Evaluate log(base 4) 64 / log(base 4) 4

• 3

• 5

• 4

• 2

Solve for x: log(base 2) x = 3

• 8

• 4

• 10

• 6

If log(base 6) a = 2 and log(base 6) b = 4, find log(base 6) (a^2 * b^3)

• 24

• 16

• 8

• 10

If log(base 7) x = 2 and log(base 7) y = 3, find log(base 7) (x/y)

• 5

• -1

• 10

• 0

If log(base 8) p = 2 and log(base 8) q = 3, find log(base 8) (p*q)

• 10

• 6

• 5

• 8

If log(base 9) m = 2 and log(base 9) n = 4, find log(base 9) (m^n)

• 6

• 8

• 12

• 16

If log(base 10) c = 2 and log(base 10) d = 3, find log(base 10) (c*d)

• 6

• 1

• 4

• 5