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

Solutions > Log Quotient Rule Calculator >

log_{2}((3x^2)/4)

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

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

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simplify log₂(3x²4 )

Solution

log₂(3)+2log₂(x)−2

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Solution steps

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log₂(3x²4 )

Apply log rule: log_a(xy )=log_a(x) − log_a(y)

log₂(3x²4 )=log₂(3x²)−log₂(4)

=log₂(3x²)−log₂(4)

log₂(3x²)=log₂(3)+2log₂(x)

log₂(4)=2

=log₂(3)+2log₂(x)−2

Solve instead

f(x)=log₂(3x²4 )

ddx (log₂(3x²4 ))

Log Quotient Rule Examples

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