What is the answer to 5(x-1)^{0.34}+2=10 ?

The answer to 5(x-1)^{0.34}+2=10 is x=(8/5)^{50/17}+1

Solve for x: 5(x-1)^{0.34}+2=10

The solution is x=(8/5)^{50/17}+1

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5 (x - 1)^{0.34} + 2 = 10

x = (\frac{8}{5})^{\frac{50}{17}} + 1

Decimal Notation

x = 4.98430 \dots

Solution steps

5 (x - 1)^{0.34} + 2 = 10

Move

2

to the right side

5 (x - 1)^{0.34} = 8

Divide both sides by

5

(x - 1)^{0.34} = \frac{8}{5}

Take both sides of the equation to the power of

\frac{50}{17} : (x - 1) = (\frac{8}{5})^{\frac{50}{17}}

(x - 1) = (\frac{8}{5})^{\frac{50}{17}}

Solve

(x - 1) = (\frac{8}{5})^{\frac{50}{17}} : x = (\frac{8}{5})^{\frac{50}{17}} + 1

x = (\frac{8}{5})^{\frac{50}{17}} + 1

Verify Solutions:

x = (\frac{8}{5})^{\frac{50}{17}} + 1

True

The solution is

x = (\frac{8}{5})^{\frac{50}{17}} + 1

x - 12 = x + 44

4 x + 21 = x

x^{2} - 256 = 0

4 x + 3 - 4 x - 1 = 2

4 = x^{\frac{1}{2}}

What is the answer to 5(x-1)^{0.34}+2=10 ?
The answer to 5(x-1)^{0.34}+2=10 is x=(8/5)^{50/17}+1
Solve for x: 5(x-1)^{0.34}+2=10
The solution is x=(8/5)^{50/17}+1