log_{2}(6)*log_{6}(8)

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

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

simplify solve for inverse tangent line

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simplify log₂(6)· log₆(8)

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Solution steps

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log₂(6)log₆(8)

Apply log rule: log_a(b)=log_c(b)log_c(a)

log₂(6)=ln(6)ln(2)

=ln(6)ln(2) log₆(8)

Apply log rule: log_a(b)=log_c(b)log_c(a)

log₆(8)=ln(8)ln(6)

=ln(6)ln(2) · ln(8)ln(6)

Cross-cancel common factor: ln(6)

=ln(8)ln(2)

ln(8)=3ln(2)

=3ln(2)ln(2)

Cancel the common factor: ln(2)

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Notebook

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

log_{2}(6)*log_{6}(8)

Solution

Solution steps

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