Question

I don't know how my teacher got from 990/4 to 495/2

Answer 1

The teacher reduced the fraction.

You can reduce a fraction by dividing the numerator and the denominator by the same number.

990 and 4 are both even numbers. They are both divisible by 2.
990/2 = 495

4/2 = 2

990/4 = 495/2


`log (4x + 10) = 3`


`log_b x = y ~~means~~ b^y = x`


`4x + 10 = 10^3`


`4x + 10 = 1000`


`4x = 990`


`x = (990)/(4)`


`x = (495 * 2)/(2 * 2)`


`x = (495)/(2) * (2)/(2)`


`x = (495)/(2) * 1`


`x = (495)/(2)`