What is ln(x)-5[ln(x-8)+ln(x+8)] ?

The solution to ln(x)-5[ln(x-8)+ln(x+8)] is ln(x)-5ln((x-8)(x+8))

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simplify ln(x)-5[ln(x-8)+ln(x+8)]

simplify

ln (x) - 5 [ln (x - 8) + ln (x + 8)]

ln (x) - 5 ln ((x - 8) (x + 8))

Solution steps

ln (x) - 5 [ln (x - 8) + ln (x + 8)]

Apply log rule:

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

ln (x - 8) + ln (x + 8) = ln ((x - 8) (x + 8))

= ln (x) - 5 [ln ((x - 8) (x + 8))]

Remove parentheses:

(a) = a

= ln (x) - 5 ln ((x - 8) (x + 8))

\frac{9}{2} \cdot ln (2)

ln (\frac{273.26}{273.15})

ln ((tan (x))^{s i n (x)})

\frac{( ln ( 108 ) - ln ( 16 ) )}{6}

5 - ln (2) + ln (\frac{1}{3})

What is ln(x)-5[ln(x-8)+ln(x+8)] ?
The solution to ln(x)-5[ln(x-8)+ln(x+8)] is ln(x)-5ln((x-8)(x+8))