ok so logarithms are not defined by negative values hence the root for the original equation would have to be the positive value of x which would have been {-2 +[28^1/2]}/2 is that the final solution.ehild said:the calculation is correct so far, but you have to investigate what root is solution of the original equation. Hint: Is logarithm defined for negative numbers?
Ehild
A logarithm is a mathematical function that represents the power to which a base number must be raised to produce a given number. In other words, it is the inverse of an exponential function.
To solve a logarithm math problem, you need to use the properties of logarithms to simplify the equation and isolate the variable. This may involve combining logarithms, using the power rule, and converting logarithmic expressions to exponential form.
There are four main properties of logarithms: the product property, the quotient property, the power property, and the inverse property. These properties allow us to manipulate logarithms and simplify equations.
First, use the product property to combine the two logarithms into one: LOG3((X+3)(X-1))=1. Then, use the power property to rewrite the equation as (X+3)(X-1)=3. Finally, solve for X by factoring the left side and using the quadratic formula.
The solution to this equation is X=2 or X=-4. These values can be verified by plugging them back into the original equation and simplifying.