##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Laws of Logarithms (Grades 11-12)

Print Test (Only the test content will print)

## Laws of Logarithms

Instructions: Assume that all variables are positive.

1.
Expand $log (6*10)$ using the Laws of Logarithms.
1. $log 6 + log 10$
2. $log 6 - log 10$
3. $log 60$
4. $log 6 /log 10$
2.
Expand $log (7/5)^6$ using the Laws of Logarithms.
1. $log 7 + log 5$
2. $6log7 - 6log5$
3. $log 7 - log 5$
4. $6log 7 - 6log 5$
3.
Expand $log_2 (6^5* 8^4)$ using the Laws of Logarithms.
1. $5log_2 6+log_2 8^4$
2. $log_2 6^5+log_2 8^4$
3. $5log_2 6+ 4log_2 8$
4. $log_2 6^5+ 4log_2 8$
4.
Expand $log_4 (2*11*7^4)$ using the Laws of Logarithms.
1. $log_4 2- log_4 11-log_4 7^4$
2. $log_4 2+ log_4 11+4log_4 7$
3. $log_4 2- log_4 11-4log_4 7$
4. $log_4 2+ log_4 11+ log_4 7^4$
5.
Simplify the expression $log 100^x$.
1. $2$
2. $x$
3. $2x$
4. $2^x$
6.
Expand $log_14 (d^4/s^2)$ using the Laws of Logarithms.
1. $log_14 d^4 - log_14 s^2$
2. $log_14 d^4 - 2log_14 s$
3. $4log_14 d - log_14 s^2$
4. $4log_14 d - 2log_14 s$
7.
Simplify the expression. $4^(log_4 16x)$
1. $2x$
2. $16x$
3. $4^(2x)$
4. $log 16x$
8.
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. $log_15 k + log_15 m$
9.
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. $log_a (5*b)$
10.
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. $log((x^2 y^5)/z^3)$
You need to be a HelpTeaching.com member to access free printables.