What is 7.952707ln(6000x^{0.8}) ?

The solution to 7.952707ln(6000x^{0.8}) is 7.952707ln(6000)+6.3621656ln(x)

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simplify 7.952707ln(6000x^{0.8})

simplify

7.952707 ln (6000 x^{0.8})

7.952707 ln (6000) + 6.3621656 ln (x)

Solution steps

7.952707 ln (6000 x^{0.8})

Apply log rule:

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

7.952707 ln (6000 x^{0.8}) = 7.952707 ln (6000) + 7.952707 ln (x^{0.8})

= 7.952707 ln (6000) + 7.952707 ln (x^{0.8})

Apply log rule:

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

ln (x^{0.8}) = 0.8 ln (x)

= 7.952707 ln (6000) + 7.952707 \cdot 0.8 ln (x)

Multiply the numbers:

7.952707 \cdot 0.8 = 6.3621656

= 7.952707 ln (6000) + 6.3621656 ln (x)

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What is 7.952707ln(6000x^{0.8}) ?
The solution to 7.952707ln(6000x^{0.8}) is 7.952707ln(6000)+6.3621656ln(x)