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Popular >

simplify ln((Lo)/L)

Solution

simplify

ln (\frac{L o}{L})

Solution

ln (o)

Solution steps

ln (\frac{L o}{L})

Apply log rule:

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

ln (\frac{L o}{L}) = ln (L o) - ln (L)

= ln (L o) - ln (L)

Apply log rule:

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

ln (L o) = ln (L) + ln (o)

= ln (L) + ln (o) - ln (L)

Simplify

ln (L) + ln (o) - ln (L) : ln (o)

= ln (o)

Popular Examples

simplify ln(1/18)simplify

ln (\frac{1}{18})

simplify ln(x)-(ln(y)+ln(z))-2ln(a)simplify

ln (x) - (ln (y) + ln (z)) - 2 ln (a)

expand log_{8}(3x^4)expand

lo g_{8} (3 x^{4})

expand log_{8}(x^3)expand

lo g_{8} (x^{3})

simplify ln((4.7926)/(-4.92))simplify

ln (\frac{4.7926}{- 4.92})

Frequently Asked Questions (FAQ)

What is ln((Lo)/L) ?
The solution to ln((Lo)/L) is ln(o)