Please help me with three quick algebra questions for 10 points. Solve the equation (10^{6x} = 93). Round your answer to the nearest ten-thousandth. The answer choices are: a) 11.8109 b) 1.0986 c) 13.3801 d) 0.3281 Using a graphing calculator, solve (5.5^{3x} = 805) by graphing. Round your answer to the nearest hundredth. The answer choices are: a) 2.91 b) 3.92 c) 1.31 d) 0.97 The generation time (G) for a particular bacterium is defined as the time it takes for the population to double. The increase in bacteria population can be represented by the formula: [ G = \frac{t}{3.3 \log_a P} ] where (t) is the time period of growth, (a) is the initial number of bacteria, and (P) is the final number of bacteria. If the generation time for this bacterium is 4.5 hours, how long will it take for 4 of these bacteria to multiply into a colony of 7,525 bacteria? Round your answer to the nearest hour. The answer choices are: a) 95 hours b) 132 hours c) 2 hours d) 57 hours

Feb 09, 2025

please help me with 3 quick algebra questions?!?! 10 points?

Please help me with three quick algebra questions for 10 points.

Solve the equation (10^{6x} = 93). Round your answer to the nearest ten-thousandth. The answer choices are:
a) 11.8109
b) 1.0986
c) 13.3801
d) 0.3281
Using a graphing calculator, solve (5.5^{3x} = 805) by graphing. Round your answer to the nearest hundredth. The answer choices are:
a) 2.91
b) 3.92
c) 1.31
d) 0.97
The generation time (G) for a particular bacterium is defined as the time it takes for the population to double. The increase in bacteria population can be represented by the formula:
[ G = \frac{t}{3.3 \log_a P} ]
where (t) is the time period of growth, (a) is the initial number of bacteria, and (P) is the final number of bacteria. If the generation time for this bacterium is 4.5 hours, how long will it take for 4 of these bacteria to multiply into a colony of 7,525 bacteria? Round your answer to the nearest hour. The answer choices are:
a) 95 hours
b) 132 hours
c) 2 hours
d) 57 hours

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Feb 07, 2025

Assume you mean 10^(6x) = 93.

6x = log(93)

x = (1/6)log(93) =

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