Question

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

Answer 1

Answer:

$x=0.79$

Step-by-step 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

$x=log[31/5]$

$x=log(6.2)$

$x=0.79$