Logs Practice

Which of the following are equivalent expressions for:

log₂(16)+log₂(4)+log₂(8)

• log₂(28)

• 9

• log₂(2⁹)

• log₂(2⁴) - log₂(2⁵)

Solve for x:

log(x) + log(x) = 2

• 10

• 100

• 1000

• 100000000

Which of the following is equivalent to:

log_b(xyz)

• zlog_b(xy)

• yzlog_b(x)

• log_b(x) + log_b(yz)

• ylog_b(x) + log_b(z)

Rewrite as an exponential:
log(10,000)=4.

• e⁴=10,000
• 4^10,000=10
• 10⁴=10,000
• 0⁴=10

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₅(625)=x.

• 4
• 2
• 3
• 10

Tags

CCSS.HSF.BF.B.5

Solve for x:
ln(4)=x

• 16
• 10
• 2.7183
• 1.37

Tags

CCSS.HSF.BF.B.5

Solve for x:
log_x(64)=2.

• 10
• 4
• 8
• e

Tags

CCSS.HSF.BF.B.5

Solve for x:
log₄(64)=x.

• 16
• 10
• 3
• 8

Tags

CCSS.HSF.BF.B.5

The total amount earned from a savings account is modeled by the expression P(1.015)^12t where P represents the principal compounded monthly and t is the time in years.  
Which expression represents the approximate interest rate compounded quartertly?

• P(1.20)^t
• P(1.20)^4t
• P(1.046)^t
• P(1.046)^4t

Shelby dreams of starting her own cosmetology studio.  An investor gives her $750,000 toward opening her own store.  Rather than spend it immediately, Shelby wisely puts it away in a savings account to accrue (gather) interest.  The account she chooses offers an annual interest rate of 12.75% compounded monthly.
How long will it be before Shelby has approximately $2,666,034 in her account?

• 9 years
• 10 years
• 2 years
• 1 year

Tags

CCSS.HSF.LE.A.4