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TheEdwardsFamily
 one year ago
PLEASE HELP ME!!!!!!!! I'LL MEDAL!
What is the missing exponent?
(10^6) ____ = 10 ^18
TheEdwardsFamily
 one year ago
PLEASE HELP ME!!!!!!!! I'LL MEDAL! What is the missing exponent? (10^6) ____ = 10 ^18

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are you familiar with logs?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm having trouble with the question. Is it\[(10^6)^x = 10^{18}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.010 to the power 6 = 1,000,000 start there

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0im trying to find the missing exponent

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. Then no logs required. This question involves using the laws of exponents. The law you need to understand to answer this question is the "power to a power" law. It say that when you have a power raised to another power, you multiply the exponents together. IN other words\[\left( b^n \right)^m = b^{nm}\] So, what is\[\left( 10^6 \right)^x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. Leave the base (10) alone and just multiply the two exponents. What is \(6 \times x\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\left( 10^6 \right)^x = 10^{6 \times x} = ?\]

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0so i am multiplying 6 * 6? im confused. (math is not my favorite subject.)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. Multiply 6 times x. What do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0May I ask what course this is for? What grade level?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Have you done algebra?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So have you solved problems like\[3x=18\]/etc.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. Good. So when you see \(3x\) as above, what mathematical operation is going on between the 3 and the x? (Addition, subtraction, multiplication, division)

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0multiplication

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Excellent. So\[3 \times x = 3x\]right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. Back to your question. What is \(6 \times x\) ?

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0mmm....im thinking 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry, I'm trying to determine where you're confused. You were just able to determine that\[3 \times x = 3x\] but you're having difficulty with\[6 \times x = ?\]Can you tell me what's confusing you?

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0ok, i think i understand now 6 * x =6x

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0I was just confused at the beginning

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes! So, we've got your problem down to this:\[\left( 10^6 \right)^x = 10^{18}\]\[10^{6 \times x} = 10^{18}\]\[10^{6x} = 10^{18}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now at this point, we have a single power on each side of the equation and these powers have the same base, i.e. 10. So now you can forget the bases and equate just the exponents, i.e.\[6x = 18\]Can you solve this for x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry. Gotta run. Good luck finishing it off.

TheEdwardsFamily
 one year ago
Best ResponseYou've already chosen the best response.0ok thanks for your help!
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