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Popular >

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

Solution

simplify

2 ln (8) + 5 ln (x)

Solution

ln (64 x^{5})

Solution steps

2 ln (8) + 5 ln (x)

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)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

8^{2} = 64

= ln (64 x^{5})

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Frequently Asked Questions (FAQ)

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