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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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Grade 11 Logarithms CCSS: HSF-BF.B.5, HSF-LE.A.4
$2^x=64$ is equivalent to which of the following?
1. $log_64 x=2$
2. $log_2 64=x$
3. $log_2 x=64$
4. $log_x 64=2$
$6^4=1296$ is equivalent to which of the following?
1. $log_6 1296=4$
2. $log_4 1296=6$
3. $log_1296 6=3$
4. $log_6 4=1296$
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. $log((x^2 y^5)/z^3)$
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
$4^x=256$ is equivalent to which of the following?
1. $log_256 x=4$
2. $log_4 x=256$
3. $log_256 4=x$
4. $log_4 256=x$
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. $x=2.34$
Write $4^2 = x$ in logarithmic form.
1. $log_x4=2$
2. $log_4x=2$
3. $log_x2=4$
4. $log_4 2=x$
Expand $log (6*10)$ using the Laws of Logarithms.
1. $log 6 + log 10$
2. $log 6 - log 10$
3. $log 60$
4. $log 6 /log 10$
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. $log_a (5*b)$
Write $5^3=125$ in logarithmic form.
1. $log_3 125 = 5$
2. $log_5 3 = 125$
3. $log_3 5 = 125$
4. $log_5 125 = 3$
Condense the logarithmic expression $log 4 - log 8$ using the laws of logarithms.
1. $log (4*8)$
2. $log (4/8)$
3. $log 32$
4. $log 4+log8$
If $log_bx=3log_bp-(2log_bt+1/2log_br)$, then what is the value of $x$?
1. $p^3/(sqrt(t^2r)$
2. $p^3t^2r^(1/2$
3. $(p^3t^2)/sqrt(r$
4. $p^3/(t^2sqrtr)$
What expression is equivalent to $3log_4x + log_4y - 4log_4z?$
1. $log_4 ((3xy)/(4z))$
2. $log_4((x^3y)/z^4)$
3. $log_4x^3yz^4$
4. $log_4x^3 + y - z^4$
Write $13^3 = 2197$ in logarithmic form.
1. $log_13 3 = 2197$
2. $log_2197 3 = 13$
3. $log_13 2197 = 3$
4. $log_2197 13 = 3$
Condense the logarithmic expression $log_9 u + log_9 v$ using the Laws of Logarithms.
1. $log_9 u/v$
2. $log_9(u * v)$
3. $u log_9 v$
4. $log_9 v$
Write $11^2 = 121$ in logarithmic form.
1. $log_2 121 = 11$
2. $log_11 2 = 121$
3. $log_2 11 =121$
4. $log_11 121 = 2$
Expand $log_5 root4x$ using the Laws of Logarithms.
1. $4log_5 x$
2. $1/4log_5 x$
3. $log_5 x^(1/4)$
4. $log_5 x^4$
Expand $log (7/5)^6$ using the Laws of Logarithms.
1. $log 7 + log 5$
2. $6log7 - 6log5$
3. $log 7 - log 5$
4. $6log 7 - 6log 5$
Evaluate. Write in simplest form. $10^(log_(10) 3)$