Solving Logarithmic Equations

Solve: log₂(2x - 3) = log₂(4x + 5) (a)  

• {4}
• {-4}
• {-1/3}
• {1/3}

• {4}

• {7}

• {20}

• {28}

Solve: log₅ x(x-3) = log₅ 10

• {-2}

• {-2, 5}

• {5}

• undefined

Solve: log₆ x(x - 1) = 1

Find the solution(s).

Enter your answer as a set, include a comma if necessary.

example if x = 0 and x = 2, then {0,2}

(a)  

Solve: log (x + 1)(x - 1) = log 15

• {-4}

• {-4, 4}

• {4}

• undefined

Solve: log_e x² = log_e 25

• {5}

• {-5, 5}

• {-5}

• undefined

Solve: e^2x+10 = 2

• {-9.65}

• {-4.31}

• {-4.65}

• undefined

Tags

CCSS.HSF.LE.A.4

Solve: 3e^2x + 5 = 44

• {1.40}

• {1.28}

• {-2.31}

• undefined

Solve: log₃ 2x² = log₃ (7x - 3)

Find the solution(s).

Enter your answer as a set, include a comma if necessary.

example if x = 0 and x = 2, then {0,2}

(a)  

Solve: log₂ x(x-4) = 5

Find the solution(s).

Enter your answer as a set, include a comma if necessary.

example if x = 0 and x = 2, then {0,2}

(a)