Solve 5(x-1)^1/3 = 20

x = 65

Step-by-step explanation:

To solve the equation, we write it in radical form:

Then, we divide both sides by 5 to isolate the root:

and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

now we add 1 to both sides to isolate x:

x = 65

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

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step-by-step explanation: