Solving Logarithmic Equations (Part 2)

Solve for n.

ln(7x - 4) = ln(2x + 11)

• n = 3

• n = -3

• n = -2

• n = 2

Solve

log₅(4x-7)=log₅(x+5)

• x = 3

• x = 12

• x = 4

• x = 7

Solve for x.

log(x) + log(x+3) = 1

• x = 5

• x = -2

• x = -5

• x = 2

Solve for x.

-6log₃(x-3) = -24

• 5

• 13

• 84

• -20

Solve for x.

log(2x) + log(5) = log(30)

• x = 6/5

• x = 10

• x = 75

• x = 3

Solve for x.

log₉(x)+log₉(x+2)=log₉(35)

• x = 5

• x = -7

• x = 5, -7

• x = -7, -13

Solve for x.

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

• x = 17/2

• x = -9/16

• x = 13

• x = -8

Solve for x.

log ₅ (10x − 7) + log ₅ 3 = 1

• x = -1/10

• x = 53/75

• x = 26/30

• x = 13/15

Solve for x.

3^{2x – 6} = 81

• x = log 4

• x = 5

• x = 4

• x = -1

Solve for x.

2 ⋅ 4^{3x – 6} – 8 = 120

• x = 3

• x = 4

• x = 2.9

• x = 8