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Answered

  1. Solve 10^6x = 93. Round to the nearest ten-thousandth.

11.8109

1.0986

13.3801

0.3281

  1. Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth.

2.91

3.92

1.31

0.97

Verified Answer :

taskmasters

Solve 10^6x = 93. Round to the nearest ten-thousandth.
0.3281

3. Use a graphing calculator. Solve 5.5^3x = 805 by graphing. Round to the nearest hundredth. 

1.31

Hope this helps. Have a nice day. Feel free to ask more questions. Thank you.

SociometricStar

Answer:

2)  x = 0.3281

3)  x = 1.31

Step-by-step explanation:

2. We have been given the equation \(10^{6x}=93\)

Take logarithm both sides

\(\log(10^{6x})=\log93\)

Use the power rule of logarithm: \(\log x^m=m\log x\)

\(6x\log10=\log93\)

The value of log10 is 1. Hence, we have

\(6x=\log93\)

Divide both sides by 6

\(x=\frac{1}{6}\cdot\log93\\\\x=0.3281\)

Thus the value of x is 0.3281

3)

We have to solve the equation \(5.5^{3x}=805\) by graphing calculator.

We graph the below two equations in the same xy- plane and the x- coordinate of the intersection point would be the solution to the graph.

\(y=5.5^{3x}\\\\y=805\)

Please see the attache graph. The intersection point is (1.308,805)

The x-coordinate is 1.308. Hence, the solution is x = 1.308.

Rounded to the nearest hundredth, we have

x = 1.31

View image SociometricStar