If 10logP(base 10)=15,then what is the value of P?

1 Answer
Apr 30, 2018

The solution is P=10^(3/2) which is about 31.62278.

Explanation:

First, isolate the log:

color(red)10log_color(blue)10(P)=color(green)15

log_color(blue)10(P)=color(green)15/color(red)10

log_color(blue)10(P)=color(green)3/color(red)2

Now, convert from log form to exponential form:

P=color(blue)10^(color(green)3/color(red)2)

color(white)P~~31.62278...

That's the solution. Hope this helped!