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Popular >

simplify ln(0.9x)-ln(x)

Solution

simplify

ln (0.9 x) - ln (x)

Solution

ln (0.9)

+1

Decimal Notation

- 0.10536 \dots

Solution steps

ln (0.9 x) - ln (x)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (0.9 x) - ln (x) = ln (\frac{0.9 x}{x})

= ln (\frac{0.9 x}{x})

Cancel the common factor:

x

= ln (0.9)

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Frequently Asked Questions (FAQ)

What is ln(0.9x)-ln(x) ?
The solution to ln(0.9x)-ln(x) is ln(0.9)