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Popular >

simplify 2ln(8)+5ln(x-4)

Solution

simplify

2 ln (8) + 5 ln (x - 4)

Solution

ln (64 (x - 4)^{5})

Solution steps

2 ln (8) + 5 ln (x - 4)

Apply log rule:

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

2 ln (8) = ln (8^{2})

= ln (8^{2}) + 5 ln (x - 4)

Apply log rule:

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

5 ln (x - 4) = ln ((x - 4)^{5})

= ln (8^{2}) + ln ((x - 4)^{5})

Apply log rule:

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

ln (8^{2}) + ln ((x - 4)^{5}) = ln (8^{2} (x - 4)^{5})

= ln (8^{2} (x - 4)^{5})

8^{2} = 64

= ln (64 (x - 4)^{5})

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Frequently Asked Questions (FAQ)

What is 2ln(8)+5ln(x-4) ?
The solution to 2ln(8)+5ln(x-4) is ln(64(x-4)^5)