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You can create printable tests and worksheets from these Grade 11 Logarithms questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Express as a single logarithm. $2log(x) - 5log(y) + 3log(z)$
1. $log((x^2 z^3)/y^5)$
2. $-30log(xyz)$
3. $-log(x^2 y^5 z^3)$
4. $log((x^2 y^5)/z^3)$
Evaluate. Write in simplest form. $10^(log_(10) 3)$
1. 3
2. 10
3. 1000
4. 1/3
5. none of these are correct
Express as a single logarithm: $3log a - 2log b - 4logc$
1. $log (3a - 2b - 4c)$
2. $log (a^3 - b^2 - c^4)$
3. $3log a - 2log b - 4logc$
4. $log ((a^3)/(b^2c^4))$
5. none of these are correct
Solve for x: $log_(10) (x^5) = 5$
1. 10
2. 5
3. 1
4. 0
5. none of these are correct
Solve for x: $log_5⁡125=x$
1. 25
2. 3
3. $1/5$
4. 5
Solve: $log_7(x)<-1$
1. $x < 1/7$
2. $x > 1/7$
3. $0 < x < 1/7$
4. No solution
Solve the logarithmic equation:

$5 log(x-2)=11$
1. $x=160.5$
2. $x=158.5$
3. $x=2.2$
4. $x=0.34$
5. $x=2.34$
Evaluate. Write in simplest form. $e^(2 ln 10)$
1. $10$
2. $100$
3. $-2$
4. $1/2$
5. none of these are correct
Which expression is equivalent to $log((3x^2)/y^4)$
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
Solve: $log_6(x^2-6x)=log_6(-8)$
1. -4, -2
2. 4, 2
3. 4
4. No real solution
What is the solution of $log_5(4x + 25) = 3$ ?
1. $-5.5$
2. $10$
3. $25$
4. $54.5$
Condense the logarithmic expression $log_5 a + log_5 b$ using the Laws of Logarithms.
1. $log_5(a/b)$
2. $b log_5 a$
3. $log_5 (a*b)$
4. $log_a (5*b)$
Simplify the expression $log 100^x$.
1. $2$
2. $x$
3. $2x$
4. $2^x$
If $log_bx=3log_bp-(2log_bt+1/2log_br)$, then the value of $x$ is
1. $p^3/(sqrt(t^2r)$
2. $p^3t^2r^(1/2$
3. $(p^3t^2)/sqrt(r$
4. $p^3/(t^2sqrtr)$
Expand $log_15 k^6root8(m)$ using the Laws of Logarithms.
1. $6log_15 k + log_15 m$
2. $log_15 k + 1/8log_15 m$
3. $6log_15 k + 1/8log_15 m$
4. $log_15 k + log_15 m$
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)
Simplify the expression. $4^(log_4 16x)$
1. $2x$
2. $16x$
3. $4^(2x)$
4. $log 16x$
Expand $log (7/5)^6$ using the Laws of Logarithms.
1. $log 7 + log 5$
2. $6log7 - 6log5$
3. $log 7 - log 5$
4. $6log 7 - 6log 5$