JazelleH684191 JazelleH684191
  • 03-11-2022
  • Mathematics
contestada

What is the solution to the equation below? Round your answer to two decimal places.9 8x = 45.68A.x = 0.78B.x = 1.28C.x = 0.86D.x = 1.62

What is the solution to the equation below Round your answer to two decimal places9 8x 4568Ax 078Bx 128Cx 086Dx 162 class=

Respuesta :

EllodyO222313 EllodyO222313
  • 03-11-2022

Explanation:

The equation is given below as

[tex]9.8^x=45.68[/tex]

Step 1:

Divide both sides by 9

[tex]\begin{gathered} \frac{9.8^x}{9}=\frac{45.68}{9} \\ 8^x=5.076 \end{gathered}[/tex]

Step 2:

Take ln of both sides

[tex]\begin{gathered} 8^x=5.076 \\ ln(8^x)=ln(5.076) \\ xln(8)=ln(5.076) \\ x=\frac{ln(5.076)}{ln(8)} \\ x=0.78 \end{gathered}[/tex]

Hence,

The final answer is

[tex]\Rightarrow x=0.78[/tex]

OPTION A is the correct answer

Answer Link

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