LT15 Exponential & Logarithm Equations

Logarithms

100

log₂ (5x + 7) = 5

x=5

200

log₃ (9x + 2) = 4

x=79/9

300

log₄ x + log₄ (x -12) = 3

x=16

400

log₄ (2x +1) = log₄ (x + 2) - log₄ 3

x=-1/5 or -.2

500

log₂ (x +1) - log₂ (x - 4) = 3

x=33/7 or 4.7143

Exponential Equations

100

6^2x=6^1-3x

x=1/5

200

2^3x=10

x=1.1073

300

5^1-x=25

x=-1

400

7^4-x=7^4x

x=4/5

500

8^x²=8^3x+10

x=-2,x=5

Solving Exponential Equations

100

Solve: 100^x+1=1000^3x-2

x=8/7 or 1.1429

200

Solve: 10^3x+4=9

x=.2330

300

Solve: 25^x-4=5^3x+1

x=-9

400

Solve: 3e^3-x= 15

x=1.3906

500

Solve: 10^2x+1 + 2 = 4

x=-.3495

Solving Logarithms

100

Solve logx=3

x=1000

200

Solve: ln x = 4

x=54.5982

300

log₂(x+2)+log₂(3)=log₂(27)

x=7

400

Solve: 3 ln x - 7 = 4

x=39.1213

500

Solve:  lnx+ln(x+30) = ln31

x=1