Log property review for calc

Authored by Larissa Morelj

Mathematics

11th Grade

CCSS covered

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11 questions

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MULTIPLE CHOICE QUESTION

5 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.IF.C.8

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 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.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite log_b(xⁿ)

nlog_bx

(log_bx)ⁿ

xⁿlog_bx

log_b(xⁿ)

Tags

CCSS.HSF.IF.C.8

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate Logarithms: Find the value of the given logarithm.
$\log_232=$

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Converting forms: Convert the given exponential equation into its logarithmic form.
$3^x=y$

$\log_3x=y$

$\log_3y=x$

$\log_xy=3$

$\log_yx=3$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer.
$\log\left(\frac{x}{y}\right)$

$\log x+\log y$

$x\log y$

$\log(x-y)$

$\log x-\log y$

Tags

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer.
$\log(xy^2)$

$\log x+2\log y$

$\log x+\log y^2$

$\log x-2\log y$

$\log x+\log y+\log2$

Tags

CCSS.HSF.IF.C.8

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

$\log\left(\frac{m^3}{n}\right)$

logm-log3-logn

3logm+logn

3logm-logn

3log(m-n)

Tags

CCSS.HSF.IF.C.8

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Condense: $3\ln x\ +\ 8\ln y$

$\ln\left(\frac{x^3}{y^8}\right)$

$\ln\left(x^3y^8\right)$

$24\ln\left(xy\right)$

$11\ln\left(xy\right)$

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Log property review for calc

Write logb(xy) as two logs

Write logb(x/y) as two logs

Rewrite logb(xn)

Evaluate Logarithms: Find the value of the given logarithm. log⁡232=\log_232=log2​32=

Converting forms: Convert the given exponential equation into its logarithmic form. 3x=y3^x=y3x=y

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer. log⁡(xy)\log\left(\frac{x}{y}\right)log(yx​)

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer. log⁡(xy2)\log(xy^2)log(xy2)

log(4x)

log⁡(m3n)\log\left(\frac{m^3}{n}\right)log(nm3​)

Condense: 3ln⁡x + 8ln⁡y3\ln x\ +\ 8\ln y3lnx + 8lny

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Discover more resources for Mathematics

Write log_b(xy) as two logs

Write log_b(x/y) as two logs

Rewrite log_b(xⁿ)

Evaluate Logarithms: Find the value of the given logarithm.
$\log_232=$

Converting forms: Convert the given exponential equation into its logarithmic form.
$3^x=y$

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer.
$\log\left(\frac{x}{y}\right)$

Expanding Logs: Use properties of logarithms to expand the given problem completely and choose the correct answer.
$\log(xy^2)$

$\log\left(\frac{m^3}{n}\right)$

Condense: $3\ln x\ +\ 8\ln y$