Answer:
[tex]x=0.68[/tex]
Step-by-step explanation:
we have
[tex]8(9^x)=35.68[/tex]
solve for x
Divide both sides by 8
[tex]8(9^x)/8=35.68/8[/tex]
[tex](9^x)=4.46[/tex]
Apply log both sides
[tex]log(9^x)=log(4.46)[/tex]
Applying logarithmic property
[tex]\log a^x=x\log a[/tex]
[tex](x)log(9)=log(4.46)[/tex]
[tex]x=log(4.46)/log(9)[/tex]
[tex]x=0.68[/tex]
