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does anyone know the answer to this question??

Express 1,679,616 in exponential form as a power of 6.

2006-08-30 15:25:22 · 8 answers · asked by soccerman001 2 in Education & Reference Homework Help

8 answers

6^x = 1,679,616
The inverse of a power function is a log function, leading to:
log (base 6) 1,679,616 = x

To calculate with the calculator (which only deals in base 10):
ln(1,679,616) / ln(6)

Result: 8

The answer meaning that 6^8 = 1,679,616

For more info: http://www.math.utah.edu/~pa/math/sexample.html

2006-08-30 15:34:09 · answer #1 · answered by Illy 3 · 1 0

What this question I think is asking to solve for "n" in this equation

6^n = 1,679,616.

You can use logarithms, but this number is a perfect power of 6, so I just divide it. Factor how many times 6 goes into 1,679,616. This comes out to be...

1,679,616 = 6^8

6 is the base and 8 is the exponent, so 6^8 would be your final answer.

If you wanted to use logarithms,

6^n = 1,679,616
log base 6 of 1,679,616 = n

Using the laws of logarithms, we can rewrite this as...

(ln 1,679,616) / (ln 6) = n
n = 8

Remember that "ln" is natural logarithm (basically log of base e).
You can use a log with any base (not just ln or log base 10) as long as the bases are the same for the numerator and the denominator.

**********************************************************************
If you are asking for an answer in the form...
x * 10^6

Then what you want is the "scientific notation"
Basically you divide you number (1,679,616) by 10^6 to get...
1.679616. However, we want the same number in a different form, so make sure that this number is multiplied by 10^6. So your final answer in this case would be...

1.679616 * 10^6.

2006-08-30 22:34:17 · answer #2 · answered by Zαrα Mikαzuki 6 · 0 1

SUCH AN EASY QUESTION

here:

1,679616 x 10^6 or
1,7 x 10^6

2006-08-30 22:30:35 · answer #3 · answered by Anonymous · 0 1

a number?..jk....um... 6 to the 8th power?...what level math r u in? (just wondering)

2006-08-30 22:28:05 · answer #4 · answered by <3 <3 <3 4 · 0 0

1.679616x10^6

2006-08-30 22:32:42 · answer #5 · answered by carpediem 3 · 0 1

1679616 = 1.0*6^8

2006-08-30 22:31:24 · answer #6 · answered by 1,1,2,3,3,4, 5,5,6,6,6, 8,8,8,10 6 · 0 1

six to the power of seven, 6x6x6x6x6x6x6x6

2006-08-30 22:30:46 · answer #7 · answered by banananose_89117 7 · 0 1

thatdoesnt make sense to me, but i'm only in algebra

2006-08-30 22:28:59 · answer #8 · answered by JCman2010 3 · 0 0

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