Answer:
4th option
Step-by-step explanation:
using the rule of logarithms
[tex]log^{n}[/tex] = nlogx
[tex]3^{7x}[/tex] - 8 = - 2 ( add 8 to both sides )
[tex]3^{7x}[/tex] = 6 ( take the log of both sides )
log[tex]3^{7x}[/tex] = log6
7xlog3 = log6 ( divide both sides by 7log3 )
x = [tex]\frac{log6}{7log3}[/tex] ≈ 0.23 ( to the nearest hundredth )
