Converting Between Logs and Exponents (Grade 10)

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Converting Between Logs and Exponents

1. 
Which equation represents [math]log_8 64=2[/math] in exponential form?
  1. [math]8^64=2[/math]
  2. [math]2^8=64[/math]
  3. [math]2^64=8[/math]
  4. [math]8^2=64[/math]
2. 
[math]2^3=8[/math] is equivalent to which of the following?
  1. [math]log_8 2=3[/math]
  2. [math]log_3 8=2[/math]
  3. [math]log_2 8=3[/math]
  4. [math]log_8 3=2[/math]
3. 
Write [math]64 ^(1/2) = 8[/math] in logarithmic form.
  1. [math]log_64 (1/2) =8[/math]
  2. [math]log_(1/2) 8 =64[/math]
  3. [math]log_64 8 = 1/2[/math]
  4. [math]log_(1/2) 64 =8[/math]
4. 
Write [math]log_2 8 = 3[/math] in exponential form.
  1. [math]2^4 = 8[/math]
  2. [math]2^3 = 8[/math]
  3. [math]2^2 = 8[/math]
  4. [math]2^5 = 8[/math]
5. 
Write [math]13^3 = 2197[/math] in logarithmic form.
  1. [math]log_13 3 = 2197[/math]
  2. [math]log_2197 3 = 13[/math]
  3. [math]log_13 2197 = 3[/math]
  4. [math]log_2197 13 = 3[/math]
6. 
Which of the following expresses the equation in correct exponential form?

[math]log_10 0.0001=-4[/math]
  1. [math]10^-3=0.001[/math]
  2. [math]10^-4=0.0001[/math]
  3. [math]10xx10^-3=0.01[/math]
  4. [math]10xx10^-4=0.001[/math]
7. 
[math]6^4=1296[/math] is equivalent to which of the following?
  1. [math]log_6 1296=4[/math]
  2. [math]log_4 1296=6[/math]
  3. [math]log_1296 6=3[/math]
  4. [math]log_6 4=1296[/math]
8. 
Write [math]4^2 = x[/math] in logarithmic form.
  1. [math]log_x4=2[/math]
  2. [math]log_4x=2[/math]
  3. [math]log_x2=4[/math]
  4. [math]log_4 2=x[/math]
9. 
[math]2^x=64[/math] is equivalent to which of the following?
  1. [math]log_64 x=2[/math]
  2. [math]log_2 64=x[/math]
  3. [math]log_2 x=64[/math]
  4. [math]log_x 64=2[/math]
10. 
[math]4^x=256[/math] is equivalent to which of the following?
  1. [math]log_256 x=4[/math]
  2. [math]log_4 x=256[/math]
  3. [math]log_256 4=x[/math]
  4. [math]log_4 256=x[/math]

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