M4 U3 Test Review

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

State the property (s) used to simplify the expression

6log 2 = log 64

• Product Property

• Quotient Property

• Power Property

• Product and Power Property

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

Expand

• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

Solve for x:
8^x+1= 3

• 0.528
• 0.893
• -0.472
• 1.893

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Solve the equation for x.

• 32
• 25
• 1.66
• 512