Quiz: Logarithmic Properties and Equations (Attempt 2)

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.BF.B.5

CCSS.HSF.IF.C.8

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98
• log 78
• log 56
• log 45

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

 $\log_224-\log_36$  Condense the following expression into a single logarithm:

•  $\log_34$  

•  $\log_318$  

•  $\log_330$  

•  $\log_3144$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense the expression  $10\log_3x+6\log_3y$  
 into a single logarithm.

•  $\log_3\left(x^{10}y^6\right)$  

•  $\log_3\left(x^{10}+y^6\right)$  

•  $\log_3\left(\frac{x^{10}}{y^6}\right)$  

•  $\log_3\left(xy\right)^{16}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Which expression is equivalent to  $\log_2\left(\frac{m^4}{n^7}\right)$  

•  $4\log_2m+7\log_2m$  

•  $7\log_2m+4\log_2m$  

•  $4\log_2m-7\log_2m$  

•  $7\log_2m-4\log_2m$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Which expression is equivalent to:

 $\frac{1}{2}\ln\left(a\right)+\frac{1}{2}\ln\left(b\right)$  

•  $\ln\left(ab\right)^2$  

•  $\ln\left(ab^{\frac{1}{2}}\right)$  

•  $\ln\left(\sqrt{ab}\right)$  

•  $\ln\left(a^{\frac{1}{2}}b\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense the following expression into a single logarithm:
 $2\log\left(a\right)+4\log\left(b\right)-9\log\left(c\right)$  

•  $\log\left(a^2b^4c^9\right)$  

•  $\log\left(a^2+b^4-c^9\right)$  

•  $\log\left(\frac{a^2b^4}{c^9}\right)$  

•  $\log\left(\frac{a^2}{b^4c^9}\right)$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

log(-10) =

• 1

• 10

• 100

• no solution

Tags

CCSS.HSF.BF.B.5