Question

Solve f(x) = log4 (x+3) + log4(2-x)

Answer 1

this is a function, there is nothing to solve.

Answer 2

BAdhi is correct but you could write it in another form.

Answer 3

You can simplify it, however, using the rule \(log_{a}p+log_{a}q=log_{a}pq\).

Answer 4

In ordinary words: the sum of the logarithms of two numbers is the logarithm of the product of these numbers.
Please write down what your f becomes with this rule!

Answer 5

\[\log _{a}m + \log _{a}n = \log _{a}(m \times n)\]

Answer 6

\[f(x) = \log _{4} (x+3) + \log _{4}(2-x)\]
\[f(x) = \log _{4}(x+3)(2-x)\]