Question

What is the solution to log5(x+30)=3 A. X=-95 B. X=-5 C. X=5 D. X=95

Answer 1

Answer:

X=95

Step-by-step explanation:

Answer 2

Keywords:

logarithmic equation, variable, logarithm, logarithm properties

For this case we have a logarithmic equation in which we must find the value of the variable x. For this we must apply properties of logarithm. By definition we have:

$log_ {b} (a) = c$ is equivalent to $b ^ c = a$

Applying the definition, we have that: $log_ {5} (x + 30) = 3$ must be equivalent to: $5 ^ 3 = x + 30$

Solving the resulting equation we have:

$125 = x + 30$

Clearing x:

$x = 125-30\\x = 95$

Thus, the value of x is given by 95.

Answer:

The solution of$log_ {5} (x + 30) = 3$ is $x = 95$