Solve the equation with radicals $\sqrt[3]{2x-1}=2$

Step-by-step Solution

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Final answer to the problem

$x=\frac{9}{2}$
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1

Apply the formula: $x^a=b$$\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}$, where $a=\frac{1}{3}$, $b=2$, $x^a=b=\sqrt[3]{2x-1}=2$, $x=2x-1$ and $x^a=\sqrt[3]{2x-1}$

$2x-1=8$

Learn how to solve equazioni con radici cubiche problems step by step online.

$2x-1=8$

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Learn how to solve equazioni con radici cubiche problems step by step online. Solve the equation with radicals (2x-1)^(1/3)=2. Apply the formula: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, where a=\frac{1}{3}, b=2, x^a=b=\sqrt[3]{2x-1}=2, x=2x-1 and x^a=\sqrt[3]{2x-1}. Apply the formula: x+a=b\to x=b-a, where a=-1, b=8, x+a=b=2x-1=8, x=2x and x+a=2x-1. Apply the formula: a+b=a+b, where a=8, b=1 and a+b=8+1. Apply the formula: ax=b\to \frac{ax}{a}=\frac{b}{a}, where a=2 and b=9.

Final answer to the problem

$x=\frac{9}{2}$

Exact Numeric Answer

$x=4.5$

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Function Plot

Plotting: $\sqrt[3]{2x-1}-2$

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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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