(6 · 10^5)(5 · 10^-9) ÷ (3 · 10^-3) (express in regular numbers.

Remark

Break this down into smaller steps. Do as much as you can before considering the next part.

Step One

multiply (6*10^5) * (5 * 10^-9)

5 * 6 = 30

10^5 * 10-9 = 10^(5 - 9) = 10^-4

30 * 10^-4. But scientific notation expresses numbers between 1 and 10

30 * 10^-4 = 3 * 10^1 * 10^-4 = 3 * 10^(1 -4) = 3 * 10^-3

That's about as far as you can go with this step.

Step Two

Divide 3*10^-3 by 3 * 10^-3

When you divide anything at all by itself, you get 1.

For example 130011 / 130011 = 1

So

3 * 10^-3 divided by 3*10^-3 = 1

1

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.