Question
Solve the equation
x=103460
Alternative Form
x≈0.771944
Evaluate
5x2×10x=23
Multiply
More Steps

Evaluate
5x2×10x
Multiply the terms
50x2×x
Multiply the terms with the same base by adding their exponents
50x2+1
Add the numbers
50x3
50x3=23
Divide both sides
5050x3=5023
Divide the numbers
x3=5023
Take the 3-th root on both sides of the equation
3x3=35023
Calculate
x=35023
Solution
More Steps

Evaluate
35023
To take a root of a fraction,take the root of the numerator and denominator separately
350323
Multiply by the Conjugate
350×3502323×3502
Simplify
350×3502323×5320
Multiply the numbers
More Steps

Evaluate
323×5320
Multiply the terms
3460×5
Use the commutative property to reorder the terms
53460
350×350253460
Multiply the numbers
More Steps

Evaluate
350×3502
The product of roots with the same index is equal to the root of the product
350×502
Calculate the product
3503
Reduce the index of the radical and exponent with 3
50
5053460
Cancel out the common factor 5
103460
x=103460
Alternative Form
x≈0.771944
Show Solution
