Solve for x log base five of x minus five plus log base five of x plus fifteen equals three

Solve for x log base 5 of x-5+ log base 5 of x+15=3
Clarify the left side.
Tap for more steps...
Use the product property of logarithms, .
Expand using the FOIL Method.
Tap for more steps...
Use the distributive law.
Apply the distributive property.
Apply the distributive property.
Clarify and Add like terms.
Tap for more steps...
Clarify each term.
Tap for more steps...
First, multiply by .
Move to the left of .
Multiply by .
Subtract from .
Should be rewritten in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Calculate
Tap for more steps...
Raise to the power of .
Rewrite the equation as .
Move to the left side of the equation by subtracting it from both sides.
Subtract from .
Factor using the AC method.
Tap for more steps...
Use the form. Find a pair of integers whose product is and whose sum is . In such a case, whose product is and whose sum is .
Use the integers to write the factored form.
Set equal to and Calculate .
Tap for more steps...
Make the factor equal .
Add to both sides of the equation.
Set equal to and Calculate .
Tap for more steps...
Set the factor equal to .
Subtract from both sides of the equation.
The solution is the result of and .
Exclude the solutions that do not make true.
Do you need help with solving Solve for x log base 5 of x-5+ log base 5 of x+15=3? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.