Question

Help me please. Solve this equation with the steps. -5•10^x=-31. Thank you

Answer 1

`x=0.79`

Explanation:

we have

`-5(10^(x))=-31`

step 1

Divide by -5 both sides

`10^(x)=31/5`

step 2

Apply log both sides

`log[10^(x)]=log[31/5]`

step 3

Applying Property of logarithms

Remember that

`log(x^(y))=ylog(x)`

so

`xlog[10]=log[31/5]`

Remember that

`log(10)=1`

substitute

`x=log[31/5]`

`x=log(6.2)`

`x=0.79`