Solving Exponential and Logarithmic Equations

Solve the equation:

  $4^{2x\ }=\ 7$  

• 0

• 1.311

• .364

• .702

Solve.

9(e^x) - 31 =23

• x = 1.79

• x = 4.21

• x = -3.5

• x = 1.27

Solve.

2(16^x+6) - 8 = 35

• -4.67

• -4.89

• -2.93

• -2.95

Solve:

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Solve:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4

Solve:

ln (3x + 2) = ln (5x - 6)

• x = 1

• x = 4

• x = 2

• x = 7

Solve:

log₂ x + log₂ (x + 5) = log₂ (3x + 8)

• x = 2

• x = -4

• x = 2 and x = -4

• no solution

Solve:

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

• 5

• -2

• -5

• 2

Solve:

log₉(x)+log₉(x+2)=log₉(35)

• 5

• -7

• 5, -7

• -7, -13

Solve:

log₂(x + 3)=5

• x=2

• x=29

• x=7

• x=32