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Order the steps to solve the equation

log(x2 − 15) = log(2x) form 1 to 5.


x2 − 2x − 15 = 0





correct answers
2
5
1
4
3
on edge 2022


Potential solutions are −3 and 5


x2 − 15 = 2x


x − 5 = 0 or x + 3 = 0


(x − 5)(x + 3) = 0

Respuesta :

abidemiokin

The order of steps to solve the equation are;

x^2 − 15 = 2x

(x − 5)(x + 3) = 0

x − 5 = 0 or x + 3 = 0

Potential solutions are −3 and 5

Logarithm functions

Logarithm expressions are inverse of an exponential function. Given the logarithm expression shown below:

log(x^2 − 15) = log(2x)

Cancel the log on both sides

x^2-15 = 2x

Equate to zero

x^2-2x-15 = 0

Factorize

x^2 -5x + 3x -15 = 0

x(x-5)+3(x-5) = 0

(x-5)(x+3) = 0

Find the solution

x - 5 = 0 or x + 3 = 0

Potential solution are 5 and -3

Learn more on logarithm here: https://brainly.com/question/247340

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