Logaritmo #7

Algebra Level pending

If (@n = log n \sqrt{n} ), (log 10 = 1) and (y = ax + @b),

Consider that (when x = 0; y = 2) and find the value of b.

10 1 10000 100

Victor Porto by Victor Porto , 22, Brazil

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

Tom Engelsman
Dec 23, 2020

We have the linear equation y = a x + log ⁡ b = a x + 1 2 log ⁡ b y =ax + \log \sqrt{b} = ax + \frac{1}{2}\log b . At the point ( x , y ) = ( 0 , 2 ) (x,y) = (0,2) we obtain:

2 = 1 2 log ⁡ b ⇒ 4 = log ⁡ b ⇒ b = 10000 . 2 = \frac{1}{2} \log b \Rightarrow 4 = \log b \Rightarrow \boxed{b = 10000}.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...