Log₂(6x) - log₂(√x) = 2

log₂[6x/√x] = 2, let's rewrite it in terms of exponent:

(remember : ㏒₂(x) = a (in exponential form) → x = 2ᵃ

6x/√x = 2²

6x/√x = 4, square both sides:
36x²/x = 16 .Simplify:

36x = 16 and x = 16/36 . So x = 4/9

7 0

3 years ago

A circle has the circumference of 3.75 in. What is the diameter of the circle? (Use 3.14 for p. Round to the nearest tenth.) a.

HACTEHA [7]

Answer:

Step-by-step explanation:

The formula of a circumference:

$C=d\pi$

<em>d</em> - diameter

We have <em>C = 3.75 in</em><em>.</em>

Substitute:

$d\pi=3.75\qquad\text{use}\ \pi\approx3.14\\\\3.14d=3.75\qquad\text{divide both sides by 3.14}\\\\d=\dfrac{3.75}{3.14}\\\\d=\dfrac{375}{314}\\\\d\approx1.2\ in$

7 0

3 years ago

How do you write 0.050 in scientific notation?

Ulleksa [173]

Answer:

5.0 x 10^-2

Step-by-step explanation:

you need to move the decimal place to the right in order to be 1 or over.

moving the decimal to the right will cause the exponent to be negative. opposite direction is positive.

5 0

3 years ago

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