Solving Logarithmic Equations

Part 1

100

log₆(x+7)=log₆(2x+3)

x=4

200

log₁4x=log₁100

x=25

300

log₃(6x+43)=log₃(9x+1)

x=14

400

log₁₄(9x+17)=log₁₄(14x+8)

x=1.8

500

9²ⁿ=9^-n-1

n=1/3

Part 2

100

log₇(x+7)=1

x=0

200

log₄x=3

x=64

300

log_x25=2

x=5

400

log₇(5x-9)=3

x=352/5

500

log_x20=4

x=±\sqrt[4]{20}

Part 3

100

7^-x=49

-x=2

200

5^x=17

x=1.7603

300

15^m=27

m=1.2

400

16^b=75

b=1.5572

500

16^j=7

j=0.4375