Properties of Logarithms, Solving Exp Equations Review

Use Properties of Logs to Condense

• $\log_2\left(\frac{6}{7^2}\right)$

• $\log_2\left(6\times7^2\right)$

• $\log_2\left(\frac{7^2}{6}\right)$

• $\log_2\left(7^2\times6\right)$

Condense (Check all that apply)

•  $\log_2\left(\frac{3^3}{5^3}\right)$  

•  $\log_2\left(3^3\times5^3\right)$  

•  $\log_2\left(\frac{3}{5}\right)^3$  

•  $\log_2\left(3\times5\right)^3$  

Condense

• $\log_4\left(\left(u⁵\times v\right)\right)$

• $\log_4\left(\frac{u^5}{v}\right)$

• $\log_4\left(\frac{v}{u^5}\right)$

• $\log_4\left(v\times u^5\right)$

Use Properties of Logarithms to Expand (Check all the apply)

• $2\log_96+2\log_97$

• $\log_96^2+\log_97^2$

• $2\left(\log_96+\log_97\right)$

• $2\log_96-2\log_97$

Expand

• $5\log_510-5\log_511^6$

• $\log_510⁵-\log_511^{30}$

• $5\log_510-30\log_511$

• $5\left(\log_510-\log_511^6\right)$

Expand

• $\log_7x^6+\log_7y^5$

• $30\left(\log_7x+\log_7y\right)$

• $6\log_7x-5\log_7y$

• $6\log_7x+5\log_7y$

Solve the equations. Round to the nearest hundredth.

• .33

• 1.66

• .12

• .60

Solve

• 3.64

• .84

• 1.28

• 2000

Solve

• 0.64

• -4.36

• -4.75

• 0.25

Solve

• 0.61

• -3.39

• 0.46

• -0.34