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Popular >

simplify 3ln(8)+2ln(x)

Solution

simplify

3 ln (8) + 2 ln (x)

Solution

ln (512 x^{2})

Solution steps

3 ln (8) + 2 ln (x)

Apply log rule:

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

3 ln (8) = ln (8^{3})

= ln (8^{3}) + 2 ln (x)

Apply log rule:

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

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

= ln (8^{3}) + ln (x^{2})

Apply log rule:

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

ln (8^{3}) + ln (x^{2}) = ln (8^{3} x^{2})

= ln (8^{3} x^{2})

8^{3} = 512

= ln (512 x^{2})

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Frequently Asked Questions (FAQ)

What is 3ln(8)+2ln(x) ?
The solution to 3ln(8)+2ln(x) is ln(512x^2)