Solve the Log

Solve the equation: log₂ 5x² + log₂ 10 = 1

Solve the equation: log₅ 7 - log₅ (x - 5) = 1

ln (x - 6) + ln (x + 8) = ln 51

ln (4x^2 - 9) - ln 3 = ln 72

ln (4x^2 - 7) - ln 9 = ln 21

Solve the equation: log(5x) = log(2x + 9).

Solve the equation: log(10 - 4x) = log(10 - 3x).

Solve the equation: log(4k - 5) = log(2k - 1).

Solve the equation: -2 log 7x = 2.

Solve the equation: -6 log(x - 3) = -24.