Question
Solve the equation
n1=−4058,n2=4058
Alternative Form
n1≈−0.019753,n2≈0.019753
Evaluate
11−∣2n−812n∣=−5
Simplify
More Steps

Evaluate
11−∣2n−812n∣
Subtract the terms
More Steps

Simplify
2n−812n
Collect like terms by calculating the sum or difference of their coefficients
(2−812)n
Subtract the numbers
−810n
11−∣−810n∣
Calculate the absolute value
11−∣810n∣
11−∣810n∣=−5
Move the constant to the right-hand side and change its sign
−∣810n∣=−5−11
Subtract the numbers
−∣810n∣=−16
Calculate
∣810n∣=16
Separate the equation into 2 possible cases
810n=16810n=−16
Solve the equation for n
More Steps

Evaluate
810n=16
Divide both sides
810810n=81016
Divide the numbers
n=81016
Cancel out the common factor 2
n=4058
n=4058810n=−16
Solve the equation for n
More Steps

Evaluate
810n=−16
Divide both sides
810810n=810−16
Divide the numbers
n=810−16
Divide the numbers
More Steps

Evaluate
810−16
Cancel out the common factor 2
405−8
Use b−a=−ba=−ba to rewrite the fraction
−4058
n=−4058
n=4058n=−4058
Solution
n1=−4058,n2=4058
Alternative Form
n1≈−0.019753,n2≈0.019753
Show Solution
