Understanding exponential and logarithmic functions

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Mathematics

9th - 12th Grade

Understanding exponential and logarithmic functions

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20 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use multiple log properties to write as a single log:
3log₂x - log₂y + log₂z

$\log_2\ \frac{x}{yz}$

$\log_2\ \frac{x^3}{yz}$

$\log_2\ \frac{x^3z}{y}$

$\log_2\ \frac{xz}{y}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand the expression: log₅3x/2

log₅3 - log₅x - log₅2

log₅3 + log₅x - log₅2

log₅2 - log₅3

log₅3 + log₅x + log₅2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Condense: $\log\left(5x+2\right)\ -\ \log3\ -\ \log x$ Rewrite: $\log\ \left(5x\ +\ 2\right)\ -\ \left(\log_{\ }3\ +\ \log x\right)$ Use product and quotient rules
$\log\left(5x+2\right)\ \div\log\left(\ 3x\right)$

$\log\left(\frac{3x}{5x\ +\ 2}\right)$

$\log\left(\frac{5x\ +\ 2}{3x}\right)$

$\log\left(3x\left(5x+2\right)\right)$

$\log\left(\frac{5x\ +\ 2}{3\ -\ x}\right)$

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

-1

1/25

MULTIPLE CHOICE QUESTION

30 sec • 2 pts

Expand the logarithm

MATH RESPONSE QUESTION

2 mins • 1 pt

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Evaluate the following logarithm:

$\log_8\sqrt{8}=$

-¹/₂

-1

¹/₂

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate $\log_93$ without using a calculator.

$\frac{1}{2}$

$-2$

$\frac{1}{3}$

$-\frac{1}{2}$

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Understanding exponential and logarithmic functions

Use multiple log properties to write as a single log:3log2x - log2y + log2z

Expand the expression: log53x/2

Expand the logarithm

Evaluate the following logarithm: log⁡88=\log_8\sqrt{8}=log8​8​=

Evaluate log⁡93\log_93log9​3 without using a calculator.

Condense

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Use multiple log properties to write as a single log:
3log₂x - log₂y + log₂z

Expand the expression: log₅3x/2

Evaluate the following logarithm:

$\log_8\sqrt{8}=$

Evaluate $\log_93$ without using a calculator.