liamaz277 liamaz277
  • 13-07-2019
  • Mathematics
contestada

if 1.04 = 2 to the power of 1/j, how do I calcate j ? i know the answer should be 17.7

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 13-07-2019

Answer:

Step-by-step explanation:

Follow these steps.  First let's look at the problem:

[tex]1.04=2^{\frac{1}{j}}[/tex]

Multiply each side by j/1:

[tex]1.04^{\frac{j}{1}} =2^{\frac{1}{j} *\frac{j}{1}}[/tex]

which simplifies to

[tex]1.04^j=2[/tex]

Now take the natural log of both sides:

[tex]ln(1.04)^j=ln(2)[/tex]

The power rule says that we can bring the exponent down in front of the natural log:

(j) ln(1.04) = ln(2) and then divide both sides by ln(1.04)

Do the division on your calculator to get that j = 17.7

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