SOLUTION: Please help me solve this: log(2+x)=2.1 what is x round to 2 decimal places

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me solve this: log(2+x)=2.1 what is x round to 2 decimal places      Log On


   



Question 715949: Please help me solve this: log(2+x)=2.1 what is x round to 2 decimal places
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
With an equation in the form:
log(expression) = number
the next step is to rewrite the equation in exponential form. In general, log%28a%2C+%28p%29%29+=+n is equivalent to p+=+a%5En. Using this pattern on your equation we get:
2%2Bx+=+10%5E2.1
Subtracting 2 we get:
x+=+10%5E2.1-2
This is an exact expression for the solution to your equation. For a decimal approximation we get out our calculators:
x+=+125.89254117941672104239541063958-2
which simplifies to:
x+=+123.89254117941672104239541063958
Rounded to two places this is:
x+=+123.89