log_{sqrt(7)}(49)

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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 log_√7(49)

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log_√7(49)

Apply radical rule: √a=a¹²

√7=7¹²

=log_7¹²(49)

Apply log rule: log_a^b(x)=1b log_a(x), a>0

log_7¹²(49)=112 log₇(49)

=112 log₇(49)

Factor the number: 49=7²

=112 log₇(7²)

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

log₇(7²)=2

=112 · 2

112 · 2=4

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Notebook

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

log_{sqrt(7)}(49)

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