Single Logarithms
Exponential Equations
Logarithm Equations
Equations
Natural Logarithms
100

Write the following logarithm as a single logarithm:

log24 + log22 - log28

log21

100

Solve the following equation. Round to the nearest hundredth.

8n+1 = 3

-0.47

100

Solve each equation.

log 4x = -1

1/40

100

Solve each equation. Round your answer to the nearest hundredth.

2 ln (3x - 4) = 7

12.37

100

Use natural logarithm to solve the following equation. Round your answer to the nearest hundredth.

ex = 15

2.71

200

Write the following logarithm as a single logarithm:

2logx - 3logy

log x^2/y^3

200

Solve the following equation. Round to the nearest hundredth.

4n-2 = 3

2.79

200

Solve each equation.

4 log x = 4

10

200

Solve each equation. Round your answer to the nearest hundredth.

3 - 4 ln (8x + 1) = 12

-0.11

200

Use natural logarithm to solve the following equation. Round your answer to the nearest hundredth.

ex-4 = 2

4.69

300

Write the following logarithm as a single logarithm:

log63 - log66

log61/2

300

Solve the following equation. Round to the nearest hundredth.

52x = 20

0.93

300

Solve each equation.

log (x - 25) = 2 

125

300

Solve each equation. Round your answer to the nearest hundredth.

ln x - ln 5 = -1

1.84

300

Use natural logarithm to solve the following equation. Round your answer to the nearest hundredth.

6 - e12x = 5.2

-0.02

400

Write the following logarithm as a single logarithm:

3(4logt2)

log t24

400

Solve the following equation. Round to the nearest hundredth.

152n-3 = 245

2.52

400

Solve each equation.

2 log (2x + 5) = 4

95/2

400

Solve each equation. Round your answer to the nearest hundredth.

ln (2x - 1)2 = 4

4.19

400

Use natural logarithm to solve the following equation. Round your answer to the nearest hundredth.

e(x/5) = 32

17.33

500

Write the following logarithm as a single logarithm:

log5y - 4(log5r + 2log5t)

log5y/(r^4t^8)

500

Solve the following equation. Round to the nearest hundredth.

4x - 5 = 12

2.04

500

Solve each equation.

3 log (1 - 2x) = 6

-99/2

500

Solve each equation. Round your answer to the nearest hundredth.

ln ex+5 = 17

12

500

Use natural logarithm to solve the following equation. Round your answer to the nearest hundredth.

5e6x+3 = 0.1

-1.15