SOLUTION: Find x to three significant digits if the common logarithm of x is equal to the given value. -2.238

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Find x to three significant digits if the common logarithm of x is equal to the given value. -2.238       Log On


   

Question 1087111: Find x to three significant digits if the common logarithm of x is equal to the given value.
-2.238


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%29+=+-2.238 .........in base 10 we have
%28log%28x%29%29%2F%28log%2810%29%29+=+-2.238
log%28x%29=+-2.238%28log%2810%29%29+
log%28x%29=+log%2810%5E-2.238%29
x=+10%5E%28-2.238%29
x=+1%2F%2810%5E%282.238%29%29
x=+0.00578096
x=+0.006