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

(1 point)
Responses

11.8109
11.8109

1.0986
1.0986

13.3801
13.3801

0.3281

2 answers

To solve the equation 10^6x = 93, we can take the logarithm of both sides. Taking the logarithm with base 10, we get:

6x = log(93)

Now, divide both sides by 6 to isolate x:

x = log(93)/6

Evaluating log(93) using a calculator, we find:

x ≈ 1.0986

Therefore, the answer is 1.0986 rounded to the nearest ten-thousandth.
Stupid robot, the answer is actually 0.3281
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