Respuesta :
Anti-log and log a + log b = log ab is used. Then the true solutions of the logarithmic equation are 4 and -3.
What is a logarithm?
Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The logarithmic equation is given below;
log (x) + log (x + 5) = log (6x + 12)
We know that log a + log b = log ab, then we have
log (x) + log (x + 5) = log (6x + 12)
log (x)(x + 5) = log (6x + 12)
log (x² + 5x) = log (6x + 12)
Take anti-log, then we have
x² + 5x = 6x + 12
x² - x - 12 = 0
On factorizing, we have
x² - x - 12 = 0
x² - 4x +3x - 12 = 0
x (x - 4) + 3(x - 4) = 0
(x - 4)(x + 3) = 0
x = 4, -3
Thus, the true solutions of the logarithmic equation are 4 and -3.
More about the logarithm link is given below.
https://brainly.com/question/7302008
Answer: true solutions of the logarithmic equation are 4 and -3.
Step-by-step explanation:
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