book Maths Puzzle Numerical Ability

I am studying logarithms. I would like to know why d=log(b/a)becomes:
10^d=b/a
I have studied the properties of logarithms but the logarithms of produ

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hello can you please help me solve this question

it says substitute a= -2 and b= -1 to find the value of the expression

2b squared minus a squared...sorry if how i explained it insnt understandable.

thank you
translate to a system of equations and solve.

the sum of two numbers is 30. their difference is 40. find the numbers.