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Popular >

simplify ln(r)+ln(t)-ln(r)

Solution

simplify

ln (r) + ln (t) - ln (r)

Solution

ln (t)

Solution steps

ln (r) + ln (t) - ln (r)

Apply log rule:

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

ln (r) + ln (t) = ln (r t)

= ln (r t) - ln (r)

Apply log rule:

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

ln (r t) - ln (r) = ln (\frac{r t}{r})

= ln (\frac{r t}{r})

Cancel the common factor:

r

= ln (t)

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Frequently Asked Questions (FAQ)

What is ln(r)+ln(t)-ln(r) ?
The solution to ln(r)+ln(t)-ln(r) is ln(t)