Question
Solve the equation
n=339
Alternative Form
n≈0.693361
Evaluate
8n2×48n−126=2
Multiply
More Steps

Evaluate
8n2×48n
Multiply the terms
384n2×n
Multiply the terms with the same base by adding their exponents
384n2+1
Add the numbers
384n3
384n3−126=2
Move the constant to the right-hand side and change its sign
384n3=2+126
Add the numbers
384n3=128
Divide both sides
384384n3=384128
Divide the numbers
n3=384128
Cancel out the common factor 128
n3=31
Take the 3-th root on both sides of the equation
3n3=331
Calculate
n=331
Solution
More Steps

Evaluate
331
To take a root of a fraction,take the root of the numerator and denominator separately
3331
Simplify the radical expression
331
Multiply by the Conjugate
33×332332
Simplify
33×33239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
339
n=339
Alternative Form
n≈0.693361
Show Solution
