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You can create printable tests and worksheets from these 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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Write $64 ^(1/2) = 8$ in logarithmic form.
1. $log_64 (1/2) =8$
2. $log_(1/2) 8 =64$
3. $log_64 8 = 1/2$
4. $log_(1/2) 64 =8$
Write $log_2 8 = 3$ in exponential form.
1. $2^4 = 8$
2. $2^3 = 8$
3. $2^2 = 8$
4. $2^5 = 8$
$2^3=8$ is equivalent to which of the following?
1. $log_8 2=3$
2. $log_3 8=2$
3. $log_2 8=3$
4. $log_8 3=2$
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. $log_x 64=2$
What is the domain of the function $f(x)=3log_2 x ?$
1. $[0,oo)$
2. $(0,oo)$
3. $(3,oo)$
4. $[2,oo)$
5. $(-oo,oo)$
Which of the following expresses the equation in correct exponential form?

$log_10 0.0001=-4$
1. $10^-3=0.001$
2. $10^-4=0.0001$
3. $10xx10^-3=0.01$
4. $10xx10^-4=0.001$
$6^4=1296$ 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
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. $x=2.34$
$4^x=256$ is equivalent to which of the following?
1. $log_256 x=4$
2. $log_4 x=256$
3. $log_256 4=x$
4. $log_4 256=x$
Expand $log (6*10)$ using the Laws of Logarithms.
1. $log 6 + log 10$
2. $log 6 - log 10$
3. $log 60$
4. $log 6 /log 10$
Which of the following correctly expresses the equation in logarithmic form?

$2^6=64$
1. $log_6 2=64$
2. $log_2 6=64$
3. $log_6 64=2$
4. $log_2 64=6$
Write $4^2 = x$ in logarithmic form.
1. $log_x4=2$
2. $log_4x=2$
3. $log_x2=4$
4. $log_4 2=x$
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. $log_a (5*b)$
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. $log_4x^3 + y - z^4$
Evaluate. Write in simplest form. $10^(log_(10) 3)$