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

Solutions > Log Expand Calculator >

ln(3x^2)

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

☐²

x^☐

√☐

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log_□

π

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∫

ddx

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

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Steps Examples

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simplify ln(3x²)

Solution

ln(3)+2ln(x)

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Solution steps

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ln(3x²)

Apply log rule: log_c(ab)=log_c(a)+log_c(b)

ln(3x²)=ln(3)+ln(x²)

=ln(3)+ln(x²)

Apply log rule: log_a(x^b)=b·log_a(x)

ln(x²)=2ln(x)

=ln(3)+2ln(x)

Solve instead

f(x)=ln(3x²)

ddx (ln(3x²))

∫ ln(3x²)dx

Log Expand Examples

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