Respuesta :
Answer:
x = 95
Therefore the solution is 95
Step-by-step explanation:
What is the solution to log Subscript 5 Baseline (x + 30) = 3
log₅(x+30) = 3
From our law of logarithm
5³ = x + 30
(but 5³ = 5 ×5×5=125)
125 = x + 30
Subtract 30 from both-side of the equation to get the value of x
125 - 30 = x + 30 -30
95 = x
x = 95
Therefore the solution is 95
We can check the correctness of our answer
log₅(x+30)
=log₅(95+30)
=log₅125
=log₅5³ ( Note: log₅5=1)
=1×3
=3
