Solving Logarithmic Equations

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

• undefined
• {4}
• {1/3}
• {-4}

• {4}
• {7}
• {20}
• {28}

Solve: log₅ x(x-3) = log₅ 10 (a)  

• {-2, 5}
• {-2}
• {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}

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

• {-4}
• {-4, 4}
• {4}
• undefined

Solve: log_e x² = log_e 25 (a)  

• {5}
• {-5, 5}
• {-5}
• 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}

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}

log₆(2x + 3) = 3

Mathematical Equivalence

ON

log₃ (x-3) + 10 = 14 (a)  

• x = 5
• x = 13
• x = 84
• x = -20