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A bacterium in a petri dish multiplies by a factor of 2 every day. On day O,

there is 1 bacterium; on day 1, there are 2 bacteria, on day 2, there are 2.2 = 4

bacteria; on day 3, there are 2.2.2=8 bacteria, and so on. What logarithmic

equation can be used to find the number of days it takes for a colony of

1,000,000,000 bacteria to develop?

Respuesta :

Taxibat

Answer:

1,000,000,000 divided by 2

Step-by-step explanation:

if each is being multiplied by two, dividing this by two is the inverse operation.

shubhamchouhanvrVT

The logarithmic equation will be Log( 10⁹ ) = 0.3x.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The equation can be formed as:-

y = 2[tex].^{x[/tex]

Take Log on both sides.

Log ( y ) =  x Log2

Log ( y ) =  0.3x

Put y = 1000000000

Log ( 10⁹ ) = 0.3x

9 = 0.3 x

x = 9 / 0.3 = 30

The number of days will be 30 and the Logarithmic equation is Log( 10⁹ ) = 0.3x.

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