MamoudouN513773 MamoudouN513773
  • 25-10-2022
  • Mathematics
contestada

I Need help with this problem. Quick answer is OK

I Need help with this problem Quick answer is OK class=

Respuesta :

JaneisyK340922 JaneisyK340922
  • 25-10-2022

Given:

an equation is given as below

[tex]-7\cdot20^{x-4}=-49[/tex]

Find:

we have to solve the equation.

Explanation:

Divide both sides of the equation by -7, we get

[tex]20^{x-4}=7[/tex]

Now, by taking log on both sides, we have

[tex]\begin{gathered} log20^{x-4}=log7 \\ (x-4)log20=log7 \\ (x-4)(1.3010)=0.8451 \\ x-4=\frac{0.8451}{1.3010} \\ x-4=0.6496 \\ x=0.6496+4 \\ x=4.6496 \end{gathered}[/tex]

Therefore, the value of x = 4.6496

So, correct option is D, i.e. x = 4.6496

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