inverse of -log

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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 expand factor rationalize

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inverse −log₂(x−1)

Solution

2^−x+1

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Function Inverse definition

A function g is the inverse of function f if for y=f(x), x=g(y)

y=−log₂(x−1)

Replace x with y

x=−log₂(y−1)

Solve for y, x=−log₂(y−1)

2^−x+1

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domain −log₂(x−1)

range −log₂(x−1)

intercepts −log₂(x−1)

Log Quotient Rule Examples

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

inverse of -log_{2}(x-1)

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inverse of -log_{2}(x-1)

Solution

Solution steps

Solve instead

Number Line

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