What is join 4ln(cos((x-7)/4)) ?

The solution to join 4ln(cos((x-7)/4)) is ln(cos^4((x-7)/4))

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join 4ln(cos((x-7)/4))

join

4 ln (cos (\frac{x - 7}{4}))

ln (cos^{4} (\frac{x - 7}{4}))

Solution steps

4 ln (cos (\frac{x - 7}{4}))

Apply log rule:

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

4 ln (cos (\frac{x - 7}{4})) = ln (cos^{4} (\frac{x - 7}{4}))

= ln (cos^{4} (\frac{x - 7}{4}))

lo g_{8} (x \cdot y \cdot z^{3})

- ln (5) + 2 ln (2)

7 ln (x + 2) - 5 ln (x)

\frac{1}{2} (ln (2) - ln (7))

What is join 4ln(cos((x-7)/4)) ?
The solution to join 4ln(cos((x-7)/4)) is ln(cos^4((x-7)/4))