What is log_{10}(log_{10}(10^{100000})) ?

The solution to log_{10}(log_{10}(10^{100000})) is 5

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simplify log_{10}(log_{10}(10^{100000}))

simplify

lo g_{10} (lo g_{10} (1 0^{100000}))

5

Solution steps

lo g_{10} (lo g_{10} (1 0^{100000}))

Apply log rule:

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

lo g_{10} (1 0^{100000}) = 100000

= lo g_{10} (100000)

Factor the number:

100000 = 1 0^{5}

= lo g_{10} (1 0^{5})

Apply log rule:

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

= 5

\frac{x ^{2}}{x ^{2} - 9} - \frac{3 x}{x ^{2} - 9}

\frac{1}{5} - \frac{1}{7}

6 x (3 x - 1)^{2} + 2 x^{2} (1 - 3 x)^{2}

x^{4} - 2 x^{3} + 2 x - 1

\frac{60}{100}

What is log_{10}(log_{10}(10^{100000})) ?
The solution to log_{10}(log_{10}(10^{100000})) is 5