How many times greater is 8.5×108 than 3.4×105 ?

2.5*10^3 times greater, or 2500 times greater.

Step-by-step explanation:

Dividing 8.5*10^8 by 3.4*10^5 will yield the desired answer (which is a ratio).  Note:  108 and 105 MUST be written with the symbol " ^ " to denote exponentiation.

8.5*10^8

= (8.5 / 3.4)*10^(8-5)    =   2.5*10^3

3.4*10^5

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!