Solving Logarithmic Equations with Different Bases

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

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

• 17/2

• -9/16

• 13

• -8

log7+log(x²-4)=log35

• -1

• -2

• -3

• -4

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

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