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yanalaym [24]
3 years ago
15

What is the exact value of the exponential equation, 5(10)4x=75 ?

Mathematics
1 answer:
sweet [91]3 years ago
3 0

Answer:

c

Step-by-step explanation:

using the law of logarithms

logx^{n} ⇔ nlogx

given 5((10)^{4x} = 75 ( divide both sides by 5 )

(10)^{4x} = 15 ( take log of both sides )

log10^{4x} = log15

4xlog10 = log15 ← log10 = 1

4x = log15 ( divide both sides by 4 )

x = \frac{log15}{4} → c



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