What is the solution to log5(x+30)=3
a. x=-95
b. x=-5
c. x=5
d. x=95

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:

is equivalent to

Applying the definition, we have that: must be equivalent to:

Solving the resulting equation we have:

Clearing x:

Thus, the value of x is given by 95.

The solution of is

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn