Sinead Mcgee
2021-05-08
Answered

Use the properties of logarithms to solve the following equation.

${\mathrm{log}}_{7}(x+2)={\mathrm{log}}_{7}(14)-{\mathrm{log}}_{7}(x-3)$

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Lacey-May Snyder

Answered 2021-05-09
Author has **88** answers

Step 1

The second question is opinion question and cannot be answered as per bartleby guidelines.

It is given that:

use the formula

Step 2

Cancel log from both sides to get:

(x+2)(x-3)=14

Step 3

Solve the quadratic equation as follows:

x(x-5)+4(x-5)=0

(x-5)(x+4)=0

x=5, -4

Hence the values of x are 5 and −4.

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