3 years ago

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

Mathematics

1 answer:

sweet [91]3 years ago

3 0

Answer:

Step-by-step explanation:

using the law of logarithms

log $x^{n}$ ⇔ nlogx

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

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

log $10^{4x}$ = log15

4xlog10 = log15 ← log10 = 1

4x = log15 ( divide both sides by 4 )

x = $\frac{log15}{4}$ → c

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