What is expand log_{7}((x^4)/(y^2)) ?

The solution to expand log_{7}((x^4)/(y^2)) is 4log_{7}(x)-2log_{7}(y)

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expand log_{7}((x^4)/(y^2))

expand

lo g_{7} (\frac{x ^{4}}{y ^{2}})

4 lo g_{7} (x) - 2 lo g_{7} (y)

Solution steps

lo g_{7} (\frac{x ^{4}}{y ^{2}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{7} (\frac{x ^{4}}{y ^{2}}) = lo g_{7} (x^{4}) - lo g_{7} (y^{2})

= lo g_{7} (x^{4}) - lo g_{7} (y^{2})

Apply log rule:

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

lo g_{7} (x^{4}) = 4 lo g_{7} (x)

= 4 lo g_{7} (x) - lo g_{7} (y^{2})

Apply log rule:

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

lo g_{7} (y^{2}) = 2 lo g_{7} (y)

= 4 lo g_{7} (x) - 2 lo g_{7} (y)

ln (1 + e^{x} - 1) - ln (1 + e^{x} + 1)

ln (x e)

lo g_{d} (x^{4})

lo g_{10} (\frac{x y}{ab})

6 [ln (z) + ln (z + 8)] - 3 ln (z - 8)

What is expand log_{7}((x^4)/(y^2)) ?
The solution to expand log_{7}((x^4)/(y^2)) is 4log_{7}(x)-2log_{7}(y)