What is expand log_{10}(log_{10}(100000^{200x})) ?

The solution to expand log_{10}(log_{10}(100000^{200x})) is log_{10}(200)+log_{10}(x)+log_{10}(5)

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Popular >

expand log_{10}(log_{10}(100000^{200x}))

expand

lo g_{10} (lo g_{10} (10000 0^{200 x}))

lo g_{10} (200) + lo g_{10} (x) + lo g_{10} (5)

Solution steps

lo g_{10} (lo g_{10} (10000 0^{200 x}))

Apply log rule:

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

lo g_{10} (10000 0^{200 x}) = 200 x lo g_{10} (100000)

= lo g_{10} (200 x lo g_{10} (100000))

Apply log rule:

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

lo g_{10} (200 x lo g_{10} (100000)) = lo g_{10} (200) + lo g_{10} (x) + lo g_{10} (lo g_{10} (100000))

= lo g_{10} (200 lo g_{10} (100000) x)

Apply log rule:

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

lo g_{10} (200 x lo g_{10} (100000)) = lo g_{10} (200) + lo g_{10} (x) + lo g_{10} (lo g_{10} (100000))

= lo g_{10} (200) + lo g_{10} (x) + lo g_{10} (lo g_{10} (100000))

Simplify

lo g_{10} (100000) : 5

= lo g_{10} (200) + lo g_{10} (x) + lo g_{10} (5)

\frac{v - ln ( y ) + ln ( v y )}{v ^{2}}

lo g_{3} (7) + lo g_{3} (2)

lo g_{10} (z y^{7})

lo g_{3} (\frac{y}{27})

lo g_{6} (\frac{q}{12})

What is expand log_{10}(log_{10}(100000^{200x})) ?
The solution to expand log_{10}(log_{10}(100000^{200x})) is log_{10}(200)+log_{10}(x)+log_{10}(5)