Exponential and Logarithmic Functions

Solve for x.

 $8^x=1000$  

• 3.32

• 3.50

• 2.72

• 2.97

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.

 $2\ln3x=4$  

• 3.21

• 2.30

• 2.46

• 5.38

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Change to Logarithmic Form.

5⁴ = 625

• log₅4 = 625

• log₄625 = 5

• log₅625 = 4

• log₆₂₅5 = 4

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form.

m³ = b

• log_mb = 3

• log₃m = b

• log_bm = 3

• log_m3 = b

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form.

log₇y = x

• 7^y = x

• y = 7^x

• 7^x = y

• x⁷ = y

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form.

log₂32 = 5

• 32² = 5

• 32⁵ = 2

• 2⁵ = 32

• 5² = 32

Tags

CCSS.HSF.BF.B.5

Condense into single logarithm.

log₈x + log₈y + 6log₈z

• log_x8yz

• log₈x+y+z

• log₈xyz

• log₈(x+y+z)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense into single logarithm.

18log₉a + 6log₉b

• log₉a¹⁸b⁶

• log_a18 + log_b6 = 9

• log₉(a¹⁸ + b⁶)

• log_b9(a¹⁸ + log₆)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand.

log₄a⁶b⁵

• 6log₄a - 5log₄b

• log₄a + log₄b = 30

• 4log₆a + 4log₅b

• 6log₄a + 5log₄b

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand.
 $\frac{\ln7y^3}{\ln4x^3}$  

• ln7+4lny - (ln3+4lnx)

• ln3+7lny - (ln4+7lnx)

• ln7+3lny - (ln4+4lnx) 

• ln3+4lny - (ln7+3lnx)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8