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Logarithms Questions - All Grades

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Grade 11 Logarithms
Evaluate. Write in simplest form. [math]10^(log_(10) 3)[/math]
  1. 3
  2. 10
  3. 1000
  4. 1/3
  5. none of these are correct
Grade 11 Logarithms
Express as a single logarithm: [math]3log a - 2log b - 4logc[/math]
  1. [math] log (3a - 2b - 4c)[/math]
  2. [math]log (a^3 - b^2 - c^4)[/math]
  3. [math]3log a - 2log b - 4logc[/math]
  4. [math]log ((a^3)/(b^2c^4))[/math]
  5. none of these are correct
Grade 10 Logarithms
Grade 11 Logarithms
Solve for x: [math]log_(10) (x^5) = 5[/math]
  1. 10
  2. 5
  3. 1
  4. 0
  5. none of these are correct
Grade 10 Logarithms
Write [math]log_5 36=x[/math] in exponential form.
  1. [math]36x = 5[/math]
  2. [math]5^x = 36[/math]
  3. [math]x^5 = 36[/math]
  4. [math]10^x = 36[/math]
Grade 11 Logarithms
Solve for x: [math]log_5⁡125=x[/math]
  1. 25
  2. 3
  3. [math]1/5[/math]
  4. 5
Grade 10 Logarithms
Grade 11 Logarithms
Solve: [math]log_7(x)<-1[/math]
  1. [math]x < 1/7[/math]
  2. [math]x > 1/7[/math]
  3. [math]0 < x < 1/7[/math]
  4. No solution
Grade 11 Logarithms
Evaluate. Write in simplest form. [math]e^(2 ln 10)[/math]
  1. [math]10[/math]
  2. [math]100[/math]
  3. [math]-2[/math]
  4. [math]1/2[/math]
  5. none of these are correct
Grade 11 Logarithms
Solve: [math]log_6(x^2-6x)=log_6(-8)[/math]
  1. -4, -2
  2. 4, 2
  3. 4
  4. No real solution
Grade 11 Logarithms
Grade 11 Logarithms
If [math]log_bx=3log_bp-(2log_bt+1/2log_br)[/math], then the value of [math]x[/math] is
  1. [math]p^3/(sqrt(t^2r) [/math]
  2. [math]p^3t^2r^(1/2[/math]
  3. [math](p^3t^2)/sqrt(r[/math]
  4. [math]p^3/(t^2sqrtr)[/math]
Grade 11 Logarithms
What is the solution of [math]log_5(4x + 25) = 3[/math] ?
  1. [math]-5.5[/math]
  2. [math]10[/math]
  3. [math]25[/math]
  4. [math]54.5[/math]
Grade 11 Logarithms CCSS: HSF-BF.B.5
Which expression is equivalent to [math]log((3x^2)/y^4)[/math]
  1. 2 log 3x + 4 log y
  2. 2 log 3x - 4 log y
  3. log 3 + 2 log x + 4 log y
  4. log 3 + 2 log x - 4 log y
Grade 11 Logarithms
Grade 11 Logarithms
Solve the logarithmic equation:

[math]5 log(x-2)=11[/math]
  1. [math]x=160.5[/math]
  2. [math]x=158.5[/math]
  3. [math]x=2.2[/math]
  4. [math]x=0.34[/math]
  5. [math]x=2.34[/math]
Grade 11 Logarithms
Which of the following is the correctly expanded version of (log15)-(log 1/100)
  1. log100-15
  2. (log500+log3)-(log10-log100)
  3. (log5+log3)-(log1-log100)
  4. (log5+log30)-(log1-log10)
Grade 11 Logarithms CCSS: HSF-BF.B.5
Simplify the expression [math] log 100^x [/math].
  1. [math]2[/math]
  2. [math]x[/math]
  3. [math]2x[/math]
  4. [math]2^x[/math]
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