Logarithms Algebra 2

Solve for x.

• x=-1/3

• x = 3

• x = 36

• x = 1/3

log₃81 = 

• 2

• 3

• 4

• 5

Rewrite as an exponential:
log₂(8) = 3

• 2³= 8

• 2⁸ = 3

• 8² = 3

• 8³ = 3

Rewrite as a logarithm
3⁴ = 81

• log₄(3) = 81

• log₄(81) = 3

• log₃(4) = 81

• log₃(81) = 4

Solve the logarithm
log_1/2(16)

• 1/4

• 4

• -4

• -1/4

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Use the change of base rule to rewrite this problem:

log₅75

• log(75)/log(5)

• log(5)/log(75)

Use the change of base rule to rewrite this problem:

log₆216

• log(6)/log(216)

• log(216)/log(6)

The common logarithm has what base?

• 10

• 0

• e

• -e