Use the property Log b (xy) = Log b (x) + Log b(y) to expand: Log 3 (5x)

log ⁡ 2 ( 5 ) + log ⁡ 2 ( x ) \log_2\left(5\right)\ +\ \log_2\left(x\right) lo g 2 ( 5 ) + lo g 2 ( x )

log ⁡ 2 ( 5 ) × log ⁡ 2 ( x ) \log_2\left(5\right)\ \times\ \log_2\left(x\right) lo g 2 ( 5 ) × lo g 2 ( x )

log ⁡ 2 ( 5 ) − log ⁡ 2 ( x ) \log_2\left(5\right)\ -\ \log_2\left(x\right) lo g 2 ( 5 ) − lo g 2 ( x )

log ⁡ 2 ( 5 + x ) \log_2\left(5\ +\ x\right)\ lo g 2 ( 5 + x )

Use the property log ⁡ b ( x y ) = log ⁡ b ( x ) − log ⁡ b ( y ) \log_b\left(\frac{x}{y}\right)\ =\ \log_b\left(x\right)\ -\ \log_b\left(y\right) lo g b ( y x ) = lo g b ( x ) − lo g b ( y ) to expand log ⁡ 2 ( x 4 ) \log_2\left(\frac{x}{4}\right)\ lo g 2 ( 4 x )

log ⁡ 2 ( x ) − log ⁡ 2 ( 4 ) \log_2\left(x\right)\ -\ \log_2\left(4\right) lo g 2 ( x ) − lo g 2 ( 4 )

log ⁡ 2 ( x ) × log ⁡ 2 ( 4 ) \log_2\left(x\right)\ \times\ \log_2\left(4\right) lo g 2 ( x ) × lo g 2 ( 4 )

log ⁡ 2 ( x ) + log ⁡ 2 ( 4 ) \log_2\left(x\right)\ +\ \log_2\left(4\right) lo g 2 ( x ) + lo g 2 ( 4 )

log ⁡ 2 ( 5 ) − log ⁡ 2 ( x ) \log_2\left(5\right)\ -\ \log_2\left(x\right)\ lo g 2 ( 5 ) − lo g 2 ( x )

Log Properties

Authored by Trudy Pzynski

Mathematics

9th - 12th Grade

CCSS covered

Used 84+ times

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.HSF.BF.B.5

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write log_b(x/y) as two logs

log_bx-log_by

log_bx+log_by

log_bx*log_by

log_bx/log_by

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite log_b(xⁿ)

nlog_bx

(log_bx)ⁿ

xⁿlog_bx

log_b(xⁿ)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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.HSF.BF.B.5

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Condense

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand

Tags

CCSS.HSN.RN.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Condense

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

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Log Properties

Write logb(xy) as two logs

Write logb(x/y) as two logs

Rewrite logb(xn)

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

Condense

Expand

Condense

Condense

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write log_b(xy) as two logs

Write log_b(x/y) as two logs

Rewrite log_b(xⁿ)

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