Answer:
[tex]x=0.79[/tex]
Step-by-step explanation:
we have
[tex]-5(10^{x})=-31[/tex]
step 1
Divide by -5 both sides
[tex]10^{x}=31/5[/tex]
step 2
Apply log both sides
[tex]log[10^{x}]=log[31/5][/tex]
step 3
Applying Property of logarithms
Remember that
[tex]log(x^{y})=ylog(x)[/tex]
so
[tex]xlog[10]=log[31/5][/tex]
Remember that
[tex]log(10)=1[/tex]
substitute
[tex]x=log[31/5][/tex]
[tex]x=log(6.2)[/tex]
[tex]x=0.79[/tex]
