Advanced Algebra Cumulative Review

Condense

• logxyz³

• logx+y+z³

• logx+logy+logz³

• logx³y³z³

Write an exponential equation in the form y = ab^x for the graph that goes through the points (4, 8) and (6, 32)?

• y = 4(2)^x

• y = 2(4)^x

• y = .03125(4)^x

• y = 0.5(2)^x

Tags

CCSS.HSF.LE.A.2

Write an exponential equation in the form y = ab^x for the graph that goes through the points (-3, 24) and (-2, 12)?

• y = 48(2)^x

• y = 3(0.5)^x

• y = 192(2)^x

• y = 48(0.5)^x

Tags

CCSS.HSF.LE.A.2

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

This is an example of:

(a)  

• Exponential Growth

• Linear Growth

• Linear Decay

• Exponential Decay

Tags

CCSS.HSF-IF.C.7E

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Expand log₆(5x³/y).

• log₆5x³-log₆y

• log₆5+log₆x³-log₆y

• log₆5+3log₆x-log₆y

Expand.

• log x + log y + log z

• 1/3 log x + 1/3 log y + 1/3 log z

• 1/3 log x - 1/3 log y - 1/3 log z

• 3 log x + 3 log y + 3 log z

Solve:
log x + log 8 = 2 

• 10

• 12.5

• 15

• 17.5