Express log ⁡ 9 22 \log_922 lo g 9 2 2 in terms of common logarithms.

log ⁡ 22 log ⁡ 9 \frac{\log22}{\log9} lo g 9 lo g 2 2

log ⁡ 22 9 \log\frac{\text{22}}{9} lo g 9 22

log ⁡ 9 log ⁡ 22 \frac{\log9}{\log22} lo g 2 2 lo g 9

Condense into a single logarithm: 2 log ⁡ 5 7 − log ⁡ 5 x 2\log_57\ -\log_5x 2 lo g 5 7 − lo g 5 x

log ⁡ 5 49 x \log_5\ \frac{49}{x} lo g 5 x 4 9

log ⁡ 5 7 x \log_57x lo g 5 7 x

log ⁡ 5 49 x \log_549x lo g 5 4 9 x

log ⁡ 5 7 x \log_5\ \frac{7}{x} lo g 5 x 7

Simplify the natural log expression 4 ln ⁡ 4 − ln ⁡ 8 4\ln4-\ln8 4 ln 4 − ln 8 .

ln ⁡ 1 4 \ln\ \frac{1}{4} ln 4 1

Logarithms/Base e

Authored by Ashley Figures

Mathematics

11th Grade

CCSS covered

Used 67+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A logarithm without a base written is called what?

Natural Log

Exponential Log

Common Log

Infinite Log

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of function is the inverse of a logarithm?

Logarithmic

Square Root

Quadratic

Exponential

Tags

CCSS.HSF-BF.B.4A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation $4^3=64$ in logarithmic form.

$\log_43=\ 64$

$\log_34=\ 64$

$\log_{64}4=\ 3$

$\log_464=\ 3$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Evaluate $\log_28$ .

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve $\log_3n\ =\ 2$ .

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve $\log_610+\log_6x=\log_640$

x = 4

x = 180

x = 5

x = 30

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Express $\log_922$ in terms of common logarithms.

$\log\frac{\text{22}}{9}$

$\log198$

$\frac{\log22}{\log9}$

$\frac{\log9}{\log22}$

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite the following exponent as a logarithm $e^4=x$ .

$e^x=4$

$\ln e=4$

$\ln x=4$

$\log4=e$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite the logarithmic equation in exponential form $\ln3=x$ .

$x=0$

$e^3=x$

$x=\frac{1}{3}$

$e^x=3$

Tags

CCSS.HSF.BF.B.5

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand the following logarithm: $\log5x^2$

$\log5-\log x^2$

$2\log5\cdot\log x$

$2\log\ \frac{5}{x}$

$\log5+2\log x$

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Logarithms/Base e

A logarithm without a base written is called what?

What type of function is the inverse of a logarithm?

Write the equation 43=644^3=6443=64 in logarithmic form.

Evaluate log⁡28\log_28log2​8 .

Solve log⁡3n = 2\log_3n\ =\ 2log3​n = 2 .

Solve log⁡610+log⁡6x=log⁡640\log_610+\log_6x=\log_640log6​10+log6​x=log6​40

Express log⁡922\log_922log9​22 in terms of common logarithms.

Rewrite the following exponent as a logarithm e4=xe^4=xe4=x .

Rewrite the logarithmic equation in exponential form ln⁡3=x\ln3=xln3=x .

Expand the following logarithm: log⁡5x2\log5x^2log5x2

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write the equation $4^3=64$ in logarithmic form.

Evaluate $\log_28$ .

Solve $\log_3n\ =\ 2$ .

Solve $\log_610+\log_6x=\log_640$

Express $\log_922$ in terms of common logarithms.

Rewrite the following exponent as a logarithm $e^4=x$ .

Rewrite the logarithmic equation in exponential form $\ln3=x$ .

Expand the following logarithm: $\log5x^2$