Logging Domains

Algebra Level 4

The domain of the function y = log ⁡ 10 log ⁡ 10 log ⁡ 10 … log ⁡ 10 x ⏟ 786 times y = \underbrace{\log_{10}{\log_{10}{\log_{10}{\ldots \log_{10}{x}}}}}_{786 \text{ times}} could be represented as ( 1 0 1 0 1 0 1 0 ⋅ ⋅ ⋅ p times , ∞ ) (\large 10^{10^{10^{10^{\cdot^{\cdot^{\cdot^{\text{p times}}}}}}}} , \infty) . Then find the value of p p .


The answer is 784.

Mohit Gupta by Mohit Gupta , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Prince Loomba
Apr 20, 2016

for domain, 785 logs> 1 0 0 10^{0} =1 or 784 logs>10.. Continuing x> 1 0 784 10^{784}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Same way bro

abhishekrocks sahoo - 5 years, 1 month ago

Log in to reply

Dont you think its not woth level4!

Prince Loomba - 5 years, 1 month ago

Log in to reply

Yes its just logical

abhishekrocks sahoo - 5 years, 1 month ago

Well should be in category of lvl 3

abhishekrocks sahoo - 5 years, 1 month ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...