Logarithms

Condense

100

Log₅(3) + Log₅ (x)

Log₅(3x)

200

2 Log₇ (a) - Log₇ (b)

Log₇ (a²/b)

300

Log₃(27) - Log₃ (y)

Log₃ (27/y)

Expand

100

Log₂(8x)

Log₂ 8 + Log₂ x

200

Log₃ (27/y) 

Log₃ (27) - Log₃ (y)

300

Log₅ (3x)

Log₅ (3) + Log₅ (x)

Addition

100

Log 9 + log (x² + 1) = 1

+/- 1/3

200

Log 8 + log (x² + 9) =Log 80 

+/- 1

300

Log₇ 5 + Log₇ 3x = 2 

49/15

Subtraction

100

Log 2x² - log 5 =1 

+/- 5

200

Log₆ 5x² -Log₆ 5 =2 

+/- 6

300

Log 5x² - Log 5 =4 

+/- 100

Quadratic

100

Log (x+11) + log x = log 26 

2 or -13 

200

Log (9n + 3) = Log (n² +21)

6 or 3 

300

Log (p² + 44) = Log (13p +2)

7 or 6