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ln (10)-ln (7-x)=ln (x)

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ln(10)−ln(7−x)=ln(x)

Solution

x=2, x=5

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Solution steps

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ln(10)−ln(7−x)=ln(x)

Add ln(7−x) to both sides

ln(10)−ln(7−x)+ln(7−x)=ln(x)+ln(7−x)

Simplify

ln(10)=ln(x)+ln(7−x)

Apply log rules

10=x(7−x)

Solve 10=x(7−x): x=2, x=5

x=2, x=5

Verify Solutions: x=2 True, x=5 True

The solutions are

x=2, x=5

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

ln (10)-ln (7-x)=ln (x)

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