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

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Answer 1 · 2018-04-30T05:09:25

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

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!