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4 years ago

Consider the equation log5(x + 5) = x2.

Mathematics

2 answers:

wel4 years ago

8 0

Answer:

x ≈ -0.93, x ≈ 1.06

Step-by-step explanation:

A graphing calculator can show you the approximate solutions. (It is also capable of refining those solutions to full calculator precision, if you need.)

_____

Comment on the graphical solution

I prefer to have the calculator show me the zeros of a function, where the zeros correspond to solutions of the original equation. For the purpose, it is sufficient to define the function as the difference between the sides of the original equation.

The definition of g(x) in the attachment corresponds to the iterator of Newton's Iteration method for finding zeros of a function. When the input and output values of that iteration function match, the value of x is a zero of the function f(x).

Vaselesa [24]4 years ago

7 0

Answer:

A) x = -0.93

D) x = 1.06

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