SOLUTION: (4x10^3)(6x10^x)/2.4x10^-4=1 Determine the value of x that makes the statement true

Question 535731: (4x10^3)(6x10^x)/2.4x10^-4=1
Determine the value of x that makes the statement true
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Don't use x for multiplication. Use a dot, or *.

4*10^3*6*10^x all divided by 2.4*10-4 all equals 1.

Scientific notation of x times 10^y means you're multiplying x by that 10 raised to the y power. So deal with those 10 to some power as any base raised to an exponent.

24*10^(3+x) divided by 2.4 * 10^-4.

24/2.4 = 10 and (10^(3+x))/10^-4 = 10^(7+x) (when dividing bases with exponents, subtract the exponents. 3+x-(-4) = 7+x).

we now have 10*10^(7+x) = 1 (when multiplying bases with exponents, add the exponents. 10 is 10^1.)

10^(8+x) = 1 (any number to the 0 power is 1.)

10^(8+x) = 10^0 (If the same bases raised to different exponents are equal, then the exponents are equal.)

8+x = 0 (Subtract 8 from both sides.) x = -8

Check my profile and contact me for one on one online tutoring. I can help you understand this with one on one online tutoring. It's one thing to follow an example, but even better if you understand the concept.

RELATED QUESTIONS
(7x10^4)X/3=4x10^2 Solve for... (answered by Boreal)

Emily knows that 4x10 = 40. How can she use subtraction and multiples of 9 to find 4 x... (answered by Alan3354)

Simplify. Write answer in Scientific Notation (4x10^5)(9x10^-6) / (6x10^-4) Thank... (answered by stanbon,Alan3354)

(4X10^8)^-3 (answered by ReadingBoosters)

Which value of x makes the statement true? 1/2(6x + 10) = x + 2x + 5 A. x = 1 B. x (answered by ikleyn)

what value of x makes the equation true? 4(x-2)=-3(2x-5) (answered by stanbon)

compute.choose the expresion that is equal to the given expression. (4x10^4)(7x10^-6) (answered by edjones)

Which value of x makes the numerical sentence true? 25 1/2 � 5 �3 = 5 x (answered by vleith)

Find the value of that makes the statement true. log20x=-1 (answered by rapaljer)