Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Solving Exponential Equations Using Logarithms

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.

Use properties to solve. When necessary round your answer to the nearest thousandth.

 log⁡5x=3log⁡52\log_5x=3\log_52  



(a)  

2.

Use properties to solve. When necessary round your answer to the nearest thousandth.

 log⁡4x = log⁡4 15 − log⁡43\log_4x\ =\ \log_4\ 15\ -\ \log_43  



(a)  

3.

Use properties to solve. When necessary round your answer to the nearest thousandth.

 ln⁡x=2ln⁡(3)+ln⁡(5)\ln x=2\ln\left(3\right)+\ln\left(5\right)  



(a)  

4.

Use properties to solve. When necessary round your answer to the nearest thousandth.

 12log⁡316=log⁡3x\frac{1}{2}\log_316=\log_3x  



(a)  

5.

Use properties to solve. When necessary round your answer to the nearest thousandth.

 ln⁡(x+3)=ln⁡(20)−ln⁡(2)\ln\left(x+3\right)=\ln\left(20\right)-\ln\left(2\right)  



(a)  

6.

Use properties to solve. When necessary round your answer to the nearest thousandth.

 log⁡2(x+6)=log⁡2(3)+log⁡2(x−2)\log_2\left(x+6\right)=\log_2\left(3\right)+\log_2\left(x-2\right)  



(a)  

7.

Solve. When necessary round to the nearest hundredth.

 10x=20010^x=200  



(a)  

8.

Solve. When necessary round to the nearest hundredth.

 4x−6=104^x-6=10  



(a)  

9.

Solve. When necessary round to the nearest hundredth.

 ex=5e^x=5  



(a)  

10.

Solve. When necessary round to the nearest hundredth.

 2e0.5x=442e^{0.5x}=44  



(a)  

11.

Solve. When necessary round to the nearest hundredth.

 −274+8x=726-274+8^x=726  



(a)  

12.

Solve. When necessary round to the nearest hundredth.

 −10+3ex=11-10+3e^x=11  



(a)