College Algebra

7.1

100

125^x − 5 = 0

x = 3

200

2^5x-9 = 1/4

x = 7/5

300

8^-x - 16 = 0

x = -4/3

400

2^x2+6x=4⁻⁴
(I'll write this one on the board)

x = -4,-2

500

32^x-4 = 64^-x+2

32/11

7.3

100

log₂(8)

3

200

ln(²√e³)

2/3

300

log₃(⁴√27)

3/4

400

ln(5x+12)=5 (Calculator = Round to the hundreds place)

x = 27.28

500

log₂(32^5x)=7

x = 7/25

7.4

100

log₈(64x⁵)
(Expand)

2 + 5log₈(x)

200

ln(4x³/y³)
(Expand)

ln(4) + 3ln(x) - 3ln(y)

300

ln(12)+5ln(x)−2ln(y)

(condense)

ln[(12x⁵)/y²]

400

log₅(100x+25y)
(Expand)

2+log₅(4x+y)

500

log₉(x²+12x+35) − log₉(x+7)

log₉(x+5)

Random

100

log₁₈(1)

0

200

ln(e^x) = 13.8

x = 13.8

300

log_1/3(9)

-2

400

(2/3)^3x+7 = (4/9)²

x = 1

500

ln(2x²−16x+30)
(Expand)

ln(2) + ln(x-5) + ln(x-3)