Question
Solve the equation
x1=−e67e,x2=e67e
Alternative Form
x1≈−0.601087,x2≈0.601087
Evaluate
e5x6=7
Divide both sides
e5e5x6=e57
Divide the numbers
x6=e57
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6e57
Simplify the expression
More Steps

Evaluate
6e57
To take a root of a fraction,take the root of the numerator and denominator separately
6e567
Multiply by the Conjugate
6e5×6e67×6e
The product of roots with the same index is equal to the root of the product
6e5×6e67e
Multiply the numbers
More Steps

Evaluate
6e5×6e
The product of roots with the same index is equal to the root of the product
6e5×e
Calculate the product
6e6
Reduce the index of the radical and exponent with 6
e
e67e
x=±e67e
Separate the equation into 2 possible cases
x=e67ex=−e67e
Solution
x1=−e67e,x2=e67e
Alternative Form
x1≈−0.601087,x2≈0.601087
Show Solution
