What is log_{10}(log_{10}(10^{10000})) ?

The solution to log_{10}(log_{10}(10^{10000})) is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(log_{10}(10^{10000}))

simplify

lo g_{10} (lo g_{10} (1 0^{10000}))

4

Solution steps

lo g_{10} (lo g_{10} (1 0^{10000}))

Apply log rule:

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

lo g_{10} (1 0^{10000}) = 10000

= lo g_{10} (10000)

Factor the number:

10000 = 1 0^{4}

= lo g_{10} (1 0^{4})

Apply log rule:

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

= 4

5 \times 3

e^{l n (x + 1)}

(d^{2} + 3) (d^{2} + 2 d + 1)

4 \cdot (- 4)

cos (2 x) cos (2 x)

What is log_{10}(log_{10}(10^{10000})) ?
The solution to log_{10}(log_{10}(10^{10000})) is 4