Logarithms

Addition

100

simplify: log₃(x) + log₃(9)

log₃(9x)

200

solve: log₅ (x) + log₅ (2) = 3

62.5

300

solve for x: log₃ (x) + log₃ (3) = 4

x=27

400

solve for x: log₄ (x+2) + log₄ (2) = 3

x = 30

500

solve for x: 2log₂ (x) + log₂ (8) = 7 

x=4

Subtraction

100

solve for x: log₅(x) − log₅(5) = 1

x = 25

200

solve for x: log₃ (3x) − log₃ (3)=2  

x=9

300

solve for x: log₅ (x+4) − log₅ (2) = 2

x=46

400

solve for x: log₂ (x+6) − log₂ (2) = 5

x=58

500

solve for x: log₄ (x²+2x) − log₄ (x) = 2

x=14

Solving

100

solve for x: log₂ (x-6) = 5

x = 38

200

solve for x: log₃ (x+2) − log₃ (2) = log₃(4)

x=6

300

solve for x: log₅ (4x-7) = log₅ (x+5)

x=4

400

solve for x: log₂ (x²−9) − log₂ (x−3) = log₂(6)

x=3

500

solve for x: log₅ (x²+4x+3) − log₅ (x+1) = log₅ (4)

x=1