Answer:
c
Step-by-step explanation:
using the law of logarithms
log[tex]x^{n}[/tex] ⇔ nlogx
given 5([tex](10)^{4x}[/tex] = 75 ( divide both sides by 5 )
[tex](10)^{4x}[/tex] = 15 ( take log of both sides )
log[tex]10^{4x}[/tex] = log15
4xlog10 = log15 ← log10 = 1
4x = log15 ( divide both sides by 4 )
x = [tex]\frac{log15}{4}[/tex] → c
