What is expand log_{10}(log_{10}(100000^{2x})) ?

The solution to expand log_{10}(log_{10}(100000^{2x})) is log_{10}(2)+log_{10}(x)+log_{10}(5)

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Popular >

expand log_{10}(log_{10}(100000^{2x}))

expand

lo g_{10} (lo g_{10} (10000 0^{2 x}))

lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (5)

Solution steps

lo g_{10} (lo g_{10} (10000 0^{2 x}))

Apply log rule:

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

lo g_{10} (10000 0^{2 x}) = 2 x lo g_{10} (100000)

= lo g_{10} (2 x lo g_{10} (100000))

Apply log rule:

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

lo g_{10} (2 x lo g_{10} (100000)) = lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (lo g_{10} (100000))

= lo g_{10} (2 lo g_{10} (100000) x)

Apply log rule:

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

lo g_{10} (2 x lo g_{10} (100000)) = lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (lo g_{10} (100000))

= lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (lo g_{10} (100000))

Simplify

lo g_{10} (100000) : 5

= lo g_{10} (2) + lo g_{10} (x) + lo g_{10} (5)

\frac{ln ( \frac{9}{1024} )}{2 ln ( \frac{243}{16} )}

lo g_{10} (\frac{y z ^{3}}{x ^{5}})

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

lo g_{8} (\frac{4 5}{6})

6 ln (x) + 4 ln (y) - 3 ln (z)

What is expand log_{10}(log_{10}(100000^{2x})) ?
The solution to expand log_{10}(log_{10}(100000^{2x})) is log_{10}(2)+log_{10}(x)+log_{10}(5)