Logs and Exponentials Review

Solve the equation for x.

• 22.198

• e

• 1.131

• 21.66

Solve the equation for x.

• 998

• -1.523

• 0.477

• 0

Solve for x:
e^2x = 11

• x = (LN 11)/2

• x = 2log_e11

• x = 2eLOG 11

• x = LN (11/2)

Solve the following equation for x.  Round your solution to two decimal places.
ln3x + ln2x = 3

• x = 12.91

• x = 4.02

• x = 3.35

• x = 1.83

• A
• B
• C
• D

Expand the following logarithm: 
log_b x²y/z³  

• log_b 2x + log_b y - log_b 3z

• 2log_b x + log_b y - 3log_b z

• 2log_b x + log_b y + 3log_b z

• 2log_b x - log_b y - 3log_b z

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Solve each equation. Select the closest answer.

• 2

• 12

• 729

• 0

What is the Range?

• y > 0

• All Real Numbers

• y > 1

• y < 1

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?

• 19 to 20 hours

• 10 to 20 hours

• 15 to 16 hours

• 5 to 6 hours