A-Level Mathematics - Logs and exponentials

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Tags

CCSS.HSF.BF.B.5

Where would the asymptote be for this graph?

• y = 4
• y = -4
• x = 3
• x = -3

Tags

CCSS.HSF-IF.C.7E

• A
• B
• C
• D

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve for x.
e^x+6 + 5 = 1

• -4.614
• -4.236
• No Solution
• -0.334

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• not possible

Tags

CCSS.HSF.BF.B.5

Find x:  $\log_7\left(\frac{1}{7}\right)=x$  

• x = -1

• x = 1

• x = 0

• No Solution

Tags

CCSS.HSF.BF.B.5