Alg 2. Review Practice Day 1 for Quarter 3 Assessment

Solve

4^{3x - 8}= 16^{2x + 44}

• x=13

• x=-15

• x=-16

• x=15

Translate to exponent:

log₂256 = 8

• log2⁸=256

• 2⁸=256

• 8²=256

• 256²=8

Translate to log:

6³=216

• ₆216=3

• log₆216=3

• log₆3=216

• log₃216=6

Evaluate the expression:

log₃₂8

(Hint: Set the expression to equal x. Translate to exponent if possible and solve)

• x=1.2467

• x=3/5

• x=5/3

• x=8/32

Solve:

log₄(5x-11)=3

• x=14/5

• x=64

• x=75

• x=15

Solve:

log₂(2x+48)=log₂(5x+15)

• x=15/2

• x=14

• x=-11

• x=11

Solve:

3log₅(x)+log₅6 = log₅(384)

• x=-8

• x=3

• x=64

• x=4

What is the solution of $3e^{2x}+1=7$ ?

•  $x\approx0.131$ 

•  $x\approx0.187$ 

•   $x\approx0.3466$ 

•  $x\approx0.6931$

Solve the following equation.  Round your solution to 4 decimal places.

3 ln(x + 5) = 6

• x = 2.9045

• x = 1.6829

• x = 5.00

• x = 2.3891

Rewrite in exponential form

ln(3) = y

• y=3

• ln^y=3

• e^y=3

• e³=y