Solving Logarithmic Equations with Different Bases

log₇(x²+8) - log₇8 = log₇33

• 2, -2

• 16,-16

• 1, -1

• No Solution

log ₅ (10x − 7) + log ₅ 3 = -1

• x = -1/10

• x = 53/75

• x = 21/50

• x = -5

log ₄ 5 − log ₄ (x + 3) = -2

• x = 77

• x = -31/5

• x = -43/16

• x = 55

Solve log₉ (x - 4) + log₉ (x + 1) = log₉ (x + 5) + log₉ (x - 6)

• 17/2

• -9/16

• 13

• -8

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Tags

CCSS.HSF.BF.B.5

log₉(10)-log₉(x-3) =log₉(72)

• 81/16

• 113/36

• No Solution

• 92/15

log₆-4x-log₆5=log₆70

• 149

• -16/3 

• -175/2

• -47/5

log(216)=(x-4)log(6)

• 1

• 3

• 7

• 0

(2x-1)log9 = (3x+1)log(3)

• 5

• 0

• 1

• 3

log₅7 = 3x+1 log₅49

• 1

• -1

• 5

• 0