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Popular >

simplify 1/7 [ln(x)-ln(x+4)]

Solution

simplify

\frac{1}{7} [ln (x) - ln (x + 4)]

Solution

\frac{1}{7} ln (\frac{x}{x + 4})

Solution steps

\frac{1}{7} [ln (x) - ln (x + 4)]

Apply log rule:

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

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

= \frac{1}{7} [ln (\frac{x}{x + 4})]

Remove parentheses:

(a) = a

= \frac{1}{7} ln (\frac{x}{x + 4})

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Frequently Asked Questions (FAQ)

What is 1/7 [ln(x)-ln(x+4)] ?
The solution to 1/7 [ln(x)-ln(x+4)] is 1/7 ln(x/(x+4))