I'm of an age where there were no calculators to use for calculations. So logs were taught early on as you can make use of this property:

This converts a multiplication into an addition. Similarly divisions and roots.

Bob

]]>Logarithms are on my to-try-list, but further down the line. Looking forward to them.

I did try out 10^0.3010 and got ≈ 2

Then I tried 10^6-0.3010 and got ≈ 500,000

Q. Should that 6-0.3010 be in brackets?

]]>So log is the inverse function of 'to the power'

a is called the base and can be anything. Most common are logs in base 10 and logs in the natural log base, e. Best to have some calculus to appreciate the latter.

On a (scientific) calculator the natural log base button is marked ln, and the base ten button log.

So back to the question

Can I express 2 in terms of 10^y?

Bob

]]>I managed to follow that, although I did need pen and paper

]]>10^6/(2) = 10/2*10^(6-1) = 5*10^5 = 500,000]]>

=1,000,000/2

=500,000

*

Is there a way of doing this without converting 10^6 to 1,000,000?

For example, in the way we would do;

10^6/(10^2)=10^6-2

10^6-2=10^4

Can I express 2 in terms of 10^y?

2=10/5

10/5= what, in terms of 10^y?

Is it possible to express 10/5 in terms of 10^y?