Exponential and Logarithms Review

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Write in exponential form.

ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Select the correct equation for the scenario. The school lawn is being overtaken by geese. If there are 12 geese on Monday, and the number of geese increases by 30% every day, how many are there in 2 weeks?

• 12(1 - 0.30)¹⁴

• 12(1 + 0.30)²

• 12(1 + .30)¹⁴

• 12(1 - .30)²

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0

• 1

• 2

• 3

A person puts $4000 in the bank with a 6% annual interest rate. How much would he have after 1 year if it is compounded continuously?

• $4247.35

• $4345.25

• $3679.42

• $6738.12