Question

Help me please.

Solve this equation with the steps. -5*10^x=-31.


give step by step explanation explanation neeeded. ​

Answer 1

Answer:-

$x=0.79$

Further Explanation:

We have

$-5(10^{x})=-31$

Step 1

Divide by -5 both sides

$10^{x}=31/5$

Step 2

Apply log both sides

$log[10^{x}]=log[31/5]log$

Step 3

Applying Property of logarithms

Remember that

$log(x^{y})=ylog(x)$

So,that

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

Remember that

$log(10)=1$

Substitute

$x = log [31/5]$

$x = log(6.2)$

$x = 0.79$