Write in logarithm form 6 − 3 = 1 216 6^{-3}=\frac{1}{216} 6 − 3 = 2 1 6 1

log ⁡ 6 1 216 = − 3 \log_6\ \frac{1}{216}=-3 lo g 6 2 1 6 1 = − 3

log ⁡ 6 − 3 = 1 216 \log_6\ -3=\frac{1}{216} lo g 6 − 3 = 2 1 6 1

log ⁡ − 3 6 = 1 216 \log_{-3}\ 6=\frac{1}{216} lo g − 3 6 = 2 1 6 1

log ⁡ 1 216 6 = − 3 \log_{\frac{1}{216}}\ 6=-3 lo g 2 1 6 1 6 = − 3

Rewrite in log form: 8 − 3 = 1 512 8^{-3}=\frac{1}{512} 8 − 3 = 5 1 2 1

log ⁡ 8 1 512 = − 3 \log_8\ \frac{1}{512}=-3 lo g 8 5 1 2 1 = − 3

log ⁡ 8 − 3 = 1 512 \log_8-3=\frac{1}{512} lo g 8 − 3 = 5 1 2 1

log ⁡ − 3 8 = 1 512 \log_{-3}8=\frac{1}{512} lo g − 3 8 = 5 1 2 1

log ⁡ 1 512 8 = − 3 \log_{\frac{1}{512}}8=-3 lo g 5 1 2 1 8 = − 3

Converting Exp/Log and Change of Base

Authored by Jessica Gosa

Mathematics

9th - 12th Grade

CCSS covered

Used 27+ times

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25 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite in exponential form. $\log_{6\ }t=m$

$m^t=6$

$t^m=6$

$6^t=m$

$6^m=t$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite the equation into logarithmic form:
6² = 36

log₆ 2 = 36

log₆ 36 = 2

ln 36 = 2

6³⁶ = 2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write in exponential form.
log₂32 = 5

2^-5 = 32

2³² = 5

2⁵ = 32

32⁵ = 2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write log₂ 0.25 = -2 in exponential form

-2²= 0.25

-2^0.25= 2

2^-2= 0.25

No correct answer

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite 3⁴ = 81 in logarithmic form.

log₃4 = 81

log₈₁3 = 4

log₃81 = 4

log₄81 = 3

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Change to Exponential Form:
log₆36 = 2

2⁶=36

6²=36

36²=6

36⁶=2

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write in logarithm form
$6^{-3}=\frac{1}{216}$

$\log_6\ -3=\frac{1}{216}$

$\log_{-3}\ 6=\frac{1}{216}$

$\log_6\ \frac{1}{216}=-3$

$\log_{\frac{1}{216}}\ 6=-3$

Tags

CCSS.HSF.BF.B.5

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Converting Exp/Log and Change of Base

Rewrite in exponential form. $\log_{6\ }t=m$