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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Logarithm Properties Calculator >

Logarithm Properties Calculator

Topic

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

Generated by AI

unit (

2

4

−2

)

Solution

(

1√6

√23

−1√6

)

Show Steps

Hide Steps

Solution steps

One step at a time

(

2

4

−2

)

Computing the unit vector of |⃗ a |: ̂ a =1|⃗ a | ⃗ a

|⃗ a |: |(

2

4

−2

)|=2√6

̂ a =12√6 (

2

4

−2

)

Refine: 12√6 (

2

4

−2

)=(

1√6

√23

−1√6

)

=(

1√6

√23

−1√6

)

Logarithm Properties Examples

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