Math, asked by nitish24504, 9 months ago

log5(x2 - 19 = 3 please give the answer of this question ​

Answers

Answered by AlluringNightingale
5

Answer:

x = ± 12

Note:

★ If log_a(N) = n , then N = aⁿ

★ log(AB) = logA + logB

★ log(A/B) = logA - logB

★ log(Nⁿ) = n×(logN)

Solution:

We know that ;

If log_a(N) = n

then N = aⁿ

Thus,

log_5(x² - 19) = 3

=> x² - 19 = 5³

=> x² = 5³ + 19

=> x² = 125 + 19

=> x² = 144

=> x = √144

=> x = ± 12

Hence,

x = ± 12 .

Attachments:
Answered by tanishbahl11
0

Answer:

your answer is + 12

-

Step-by-step explanation:

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