4.4-4.5 Review

Evaluate using properties of logarithms (no calculator):  $\log_5100\ -\ 2\log_52$  

4^{3x + 5} = 16

• -5/3

• -1

• -3/2

• 2/3

Evaluate using Change of Base Formula:  $\log_45$ Round to the nearest hundredth.

Solve the equation: 

 $6^{2x}=6^{\left(-x-1\right)}$  

•  $-\frac{1}{3}$  

•  $\frac{15}{8}$  

•  $5$  

•  $\frac{19}{10}$  

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Evaluate using properties of logarithms (no calculator):  $\log2\ +\ \log10\ +\ \log5$  

Solve 8 ^. 3^x = 5

• 0.506

• 2.337

• -0.516

• -0.428

Solve 2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684

Solve:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4