What is the solution to log Subscript 5 Baseline (x + 30) = 3

Mathematics

1 answer:

Fittoniya [83]3 years ago

6 0

Answer:

x = 95

Therefore the solution is 95

Step-by-step explanation:

<u><em>What is the solution to log Subscript 5 Baseline (x + 30) = 3</em></u>

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

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