What is 5log_{200}(-5log_{8}(x)) ?

The solution to 5log_{200}(-5log_{8}(x)) is 5log_{200}(5)+5log_{200}(log_{8}(x))

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simplify 5log_{200}(-5log_{8}(x))

simplify

5 lo g_{200} (- 5 lo g_{8} (x))

5 lo g_{200} (5) + 5 lo g_{200} (lo g_{8} (x))

Solution steps

5 lo g_{200} (- 5 lo g_{8} (x))

Apply log rule:

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

5 lo g_{200} (- 5 lo g_{8} (x)) = 5 lo g_{200} (5) + 5 lo g_{200} (lo g_{8} (x))

= 5 lo g_{200} (5) + 5 lo g_{200} (lo g_{8} (x))

ln (9 sec (θ)) + ln (3 cos (θ))

ln (K e^{6 x + 1})

ln (8) + 3 ln (4)

ln (- 4) - ln (- 2)

π ln (\frac{41}{6})

What is 5log_{200}(-5log_{8}(x)) ?
The solution to 5log_{200}(-5log_{8}(x)) is 5log_{200}(5)+5log_{200}(log_{8}(x))