Log Jeopardy

Log to Exponential

100

log(2x+8)=2

10²=2x+8

200

log₉(3x)=2

9²=3x

300

log₄(5x-6)=2x-4

4^2x-4=5x-6

400

log₆(7x)=67

6⁶⁷=7x

500

log_33x+34(34x+33)=1234

(33x+34)¹²³⁴=34x+33

Solve for x

100

log_x(25)=2

x=5

200

log_2x+3(25)=2

x=1

300

log_x(10+32x)=3

x=5

400

log₅(2x)=5 

(This equation will be in decimal form, however it is a 1 digit decimal, don't worry)

x=1162.5

500

log₂(x+2)+log₂(3)=log₂(27)

x=7

Exponential Equations to log

100

3x+1²=2

log₂2=3x+1

200

3x+31⁶=45

log₆45=3x+31

300

6x²+3x+1^4x+56=67

log_4x+5667=6x²+3x+1

400

3x²+2x-1=56^(134/2x)

log₅₆3x²+2x-1=134/2x

500

log(w)+log(w−21)=2

log(w²−21w)=2

Condense the log

100

log₅2+log₅2

log₅4

200

3log₂3+log₂5

log₂135

300

log₉3x-log₉3

log₉(3x/3)

400

3log₂3-log₂5

log₂(27/5)

500

5log₅5-9log₅1

log₅(3125/1)

Solve for X (again but harder)

100

log₄(x²−2x)=log₄(5x−12)

X=3, X=4

200

log(6x)−log(4−x)=log(3

x=4/3

300

ln(x)+ln(x+3)=ln(20−5x)

x=2

400

log₃(25−x²)=2

x=-4,x=4

500

log₃(x)+1log₃9x^x

x=1/9