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Popular >

expand log_{e}(8x^3)

Solution

expand

lo g_{e} (8 x^{3})

Solution

3 ln (2) + 3 ln (x)

Solution steps

lo g_{e} (8 x^{3})

Apply log rule:

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

lo g_{e} (8 x^{3}) = lo g_{e} (8) + lo g_{e} (x^{3})

= lo g_{e} (8) + lo g_{e} (x^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{e} (x^{3}) = 3 lo g_{e} (x)

= lo g_{e} (8) + 3 lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (8) + 3 lo g_{e} (x)

Simplify

lo g_{e} (x) : ln (x)

= ln (8) + 3 ln (x)

ln (8) = 3 ln (2)

= 3 ln (2) + 3 ln (x)

Popular Examples

simplify ln(1/(0.05))simplify

ln (\frac{1}{0.05})

simplify 1/3 log_{e}(27)+1/3 log_{e}(125)simplify

\frac{1}{3} lo g_{e} (27) + \frac{1}{3} lo g_{e} (125)

simplify ln(y)-ln(y-2)simplify

ln (y) - ln (y - 2)

join 1/2 ln(50)join

\frac{1}{2} ln (50)

join (11500)/(13ln(45/13))join

\frac{11500}{13 ln ( \frac{45}{13} )}

Frequently Asked Questions (FAQ)

What is expand log_{e}(8x^3) ?
The solution to expand log_{e}(8x^3) is 3ln(2)+3ln(x)