Solving Exponential and Logarithmic Equations

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Evaluate the following logarithm by converting to exponential form.
log₃⅓ = x

• x = -1
• x = 1
• x = 3
• x = ⅓

Solve for t.
4*10^-2t=84

• t=-0.661
• t=-.032
• t=1.225
• t=5.192

-7*e^2x=28

• x=3.554
• x=-.122
• x=7.325
• Does Not Exist

Solve

• -3

• 3

• 1/3

• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

Solve

• 46/5

• 5/46

• -46/5

• -5/46

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3