solving log equations

adding logs

100

log₈5 + log₈(5x -1) = 1

x = 13/25

200

log₂(x+2) + log₂3 = log₂27

x = 7

300

log₄x + log₄(x-12) = 3

x = 16

400

log₃(x) + log₃(x-2) = log₃(x+10)

x = 5

500

log₆(x + 4) + log₆(x - 2) = log₆(4x)

x = 4

subtracting logs

100

log₄(-4x) - log₄6 = 1

x = -6

200

log₃x - log₃10 = 3

x = 270

300

log₅ (x-8) - log₅2 = log₅78

x = 164

400

log(2+x) - log(x-2) = log3

x = 4

500

log₅(5x +7) - log₅8 = log₅49

x = 77

natural logs

100

ln x = 2.7

x = 14.9

200

In(3x-1) = 4 

x = 18.53

300

 ln (x + 1) = 1.86

x = 5.42

400

In3 + Inx = In(7x - 24)

x = 6 

500

ln x = −3

x = 0.0498

random

100

Ine⁸ = x

x = 8 

200

6^x+5 = 216

x = -2

300

e^5x = 10101

x = 1.84

400

6^5x = 19^2x-5

x = -3.55

500

4(3^5x-1) = 504

x = 1.08