The solution of the logarithmic equation will be 5. Then the correct option is D.
What is a logarithm?
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The logarithmic equation is given below.
log (x + 5) = 7 / (x + 2)
Simplify the equation, we have
(x + 2) log (x + 5) = 7
[tex]\log (x + 5)^{(x + 2)} = \log 10^7[/tex]
Taking anti-log on both sides, then we have
[tex](x + 5)^{(x + 2)} = 10^7\\\\(x + 5)^{(x + 2)} = (5 + 5)^{(5 + 2)}[/tex]
On comparing, we have the value of x.
x = 5
Thus, the solution of the logarithmic equation will be 5.
Then the correct option is D.
More about the logarithm link is given below.
https://brainly.com/question/7302008
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