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Popular >

simplify ln(12)-ln(4)+ln(x-3)

Solution

simplify

ln (12) - ln (4) + ln (x - 3)

Solution

ln (3 (x - 3))

Solution steps

ln (12) - ln (4) + ln (x - 3)

Apply log rule:

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

ln (12) - ln (4) = ln (\frac{12}{4})

= ln (\frac{12}{4}) + ln (x - 3)

Divide the numbers:

\frac{12}{4} = 3

= ln (3) + ln (x - 3)

Apply log rule:

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

ln (3) + ln (x - 3) = ln (3 (x - 3))

= ln (3 (x - 3))

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Frequently Asked Questions (FAQ)

What is ln(12)-ln(4)+ln(x-3) ?
The solution to ln(12)-ln(4)+ln(x-3) is ln(3(x-3))