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Logarithmic Equations

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Logarithmic Equations Answer Key

Instructions: Solve each equation for the unknown.

1. 
[math]log_2 x=7[/math]
  • [math]x=128[/math]
2. 
[math]log_6 216=x[/math]
  • [math]x=3[/math]
3. 
[math]log_x 64=3[/math]
  • [math]x=4[/math]
4. 
[math]log(x+5)=log2x[/math]
  • [math]x=5[/math]
5. 
[math]log_10 (10^x)=3[/math]
  • [math]x=3[/math]
6. 
[math]log_3(-9)=x[/math]
  • no solution
7. 
[math]4^(log_4 10)=x[/math]
  • [math]x=10[/math]
8. 
[math]log_x (1/1000)=-3[/math]
  • [math]x=10[/math]
9. 
[math]log_10 0.0001=-4[/math]
  • [math]10^-4=0.0001[/math]
10. 
[math]log_4 2 = x[/math]
  • [math]x=1/2[/math]
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