What is the answer to (2x+3)^{3/4}-3=5 ?

The answer to (2x+3)^{3/4}-3=5 is x= 13/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x+3)^{3/4}-3=5

(2 x + 3)^{\frac{3}{4}} - 3 = 5

x = \frac{13}{2}

Decimal Notation

x = 6.5

Solution steps

(2 x + 3)^{\frac{3}{4}} - 3 = 5

Move

3

to the right side

(2 x + 3)^{\frac{3}{4}} = 8

Take both sides of the equation to the power of

4 : (2 x + 3)^{3} = 4096

(2 x + 3)^{3} = 4096

Solve

(2 x + 3)^{3} = 4096 : x = \frac{13}{2}

x = \frac{13}{2}

Verify Solutions:

x = \frac{13}{2}

True

The solution is

x = \frac{13}{2}

4 x - 12 + 11 = 19

2 + 2 x - 5 = x

x - 8 = x + 8

x + 5 + x - 2 = 5 x - 6

x + 64 = 0

What is the answer to (2x+3)^{3/4}-3=5 ?
The answer to (2x+3)^{3/4}-3=5 is x= 13/2
Solve for x: (2x+3)^{3/4}-3=5
The solution is x= 13/2