How to solve the equation step by step ?
#6^(x+3) = 11^x#
Desired answer : #x=8.868#
Desired answer :
1 Answer
Given:
Use any base logarithm that you like on both sides. I shall use the two logarithms that are on most calculators, the natural logarithm and the base 10 logarithm:
It is a property of any logarithm that exponentiation within the argument is equal to multiplication of the logarithm by the exponent:
Applying this to the equation:
Use the distributive property and flip the equation:
Combine like terms:
Divide both sides by the leading coefficient:
Using a calculator: