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Popular >

simplify ln(y)-ln(c)+ln(x)

Solution

simplify

ln (y) - ln (c) + ln (x)

Solution

ln (\frac{y x}{c})

Solution steps

ln (y) - ln (c) + ln (x)

Apply log rule:

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

ln (y) - ln (c) = ln (\frac{y}{c})

= ln (\frac{y}{c}) + ln (x)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (\frac{y}{c}) + ln (x) = ln (\frac{y}{c} x)

= ln (\frac{y}{c} x)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= ln (\frac{y x}{c})

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln(y)-ln(c)+ln(x) ?
The solution to ln(y)-ln(c)+ln(x) is ln((yx)/c)