What is expand log_{10}(j^4k^7) ?

The solution to expand log_{10}(j^4k^7) is 4log_{10}(j)+7log_{10}(k)

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expand log_{10}(j^4k^7)

expand

lo g_{10} (j^{4} k^{7})

4 lo g_{10} (j) + 7 lo g_{10} (k)

Solution steps

lo g_{10} (j^{4} k^{7})

Apply log rule:

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

lo g_{10} (j^{4} k^{7}) = lo g_{10} (j^{4}) + lo g_{10} (k^{7})

= lo g_{10} (j^{4}) + lo g_{10} (k^{7})

Apply log rule:

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

lo g_{10} (j^{4}) = 4 lo g_{10} (j)

= 4 lo g_{10} (j) + lo g_{10} (k^{7})

Apply log rule:

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

lo g_{10} (k^{7}) = 7 lo g_{10} (k)

= 4 lo g_{10} (j) + 7 lo g_{10} (k)

ln (60 e^{\frac{t}{3}})

- lo g_{10} (4.2 x 1 0^{- 4})

ln (x) - 2 ln (x^{2} + 1) + \frac{1}{2} ln (x^{4} + 1)

3 lo g_{2} (\frac{5 x}{7})

What is expand log_{10}(j^4k^7) ?
The solution to expand log_{10}(j^4k^7) is 4log_{10}(j)+7log_{10}(k)