What is the answer to 3(2x+3)^{5/3}+2=26 ?

The answer to 3(2x+3)^{5/3}+2=26 is x=(8^{3/5}-3)/2

Solve for x: 3(2x+3)^{5/3}+2=26

The solution is x=(8^{3/5}-3)/2

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3 (2 x + 3)^{\frac{5}{3}} + 2 = 26

x = \frac{8 ^{\frac{3}{5}} - 3}{2}

Decimal Notation

x = 0.24110 \dots

Solution steps

3 (2 x + 3)^{\frac{5}{3}} + 2 = 26

Move

2

to the right side

3 (2 x + 3)^{\frac{5}{3}} = 24

Divide both sides by

3

(2 x + 3)^{\frac{5}{3}} = 8

Take both sides of the equation to the power of

\frac{3}{5} : (2 x + 3) = 8^{\frac{3}{5}}

(2 x + 3) = 8^{\frac{3}{5}}

Solve

(2 x + 3) = 8^{\frac{3}{5}} : x = \frac{8 ^{\frac{3}{5}} - 3}{2}

x = \frac{8 ^{\frac{3}{5}} - 3}{2}

Verify Solutions:

x = \frac{8 ^{\frac{3}{5}} - 3}{2}

True

The solution is

x = \frac{8 ^{\frac{3}{5}} - 3}{2}

4 x + 20 = x + 2, x

9 x - 3 = 5 x + 19

(20 - r)^{\frac{1}{2}} = r

4 x^{\frac{2}{3}} + 1 = 65

95 = 32 (0.5) d

What is the answer to 3(2x+3)^{5/3}+2=26 ?
The answer to 3(2x+3)^{5/3}+2=26 is x=(8^{3/5}-3)/2
Solve for x: 3(2x+3)^{5/3}+2=26
The solution is x=(8^{3/5}-3)/2