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Popular >

simplify 7ln(x-2)+7ln(x+2)

Solution

simplify

7 ln (x - 2) + 7 ln (x + 2)

Solution

ln ((x - 2)^{7} (x + 2)^{7})

Solution steps

7 ln (x - 2) + 7 ln (x + 2)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

7 ln (x - 2) = ln ((x - 2)^{7})

= ln ((x - 2)^{7}) + 7 ln (x + 2)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

7 ln (x + 2) = ln ((x + 2)^{7})

= ln ((x - 2)^{7}) + ln ((x + 2)^{7})

Apply log rule:

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

ln ((x - 2)^{7}) + ln ((x + 2)^{7}) = ln ((x - 2)^{7} (x + 2)^{7})

= ln ((x - 2)^{7} (x + 2)^{7})

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- lo g_{10} (2.34 \cdot 1 0^{- 7})

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Frequently Asked Questions (FAQ)

What is 7ln(x-2)+7ln(x+2) ?
The solution to 7ln(x-2)+7ln(x+2) is ln((x-2)^7(x+2)^7)