All Answers 358087 Answers

You can also do this:

log(16) = 4x

(1/4)log(16) = x

But any multiplied can go inside as an exponent:

(1/4)log(16)  =  log(16^(1/4))

And, since 16 = 2^4:  log(16^(1/4))  =  log( (2^4) ^(1/4) )  =  log(2)

If, for instance, the formula gives you  (-6 ± √37) / 5

either leave it like that 

or find a decimal approximation: (-6 ± 6.083) / 5    which reduces to 0.0166 and -2.4166.

If the radical can be reduced, such as √48, reduce it:  4√3,  so (3 ± √48) / 6  becomes  (3 ± 4√3) / 6 

Then, if you want to make it into a decimal, you can.

In all cases, follow the instructions of your teacher.

Log 16=4 x

Divide  both sides by 4

x = log 16/4 = about .301

okay! Thank you,guys.

2.54 * 10^-1

When you add or subtract common fraction, you must use a common denominator.

Since 2 divides evenly into 8 (4 times), use 8 as the common denominator.

Change 1/2 into a faction with a denominator of 8 by multiplying 1/2 x 4/4, giving you 4/8

-3 5/8  -  1 1/2       --->     - 3 5/8 - 1 4/8

Since these are both negative, add them together, giving you -4 9/8.

9/8  =  1 1/8, so the answer is -5 1/8      

√42 =  about 6.48  ....... so it's closer to 6  (but just barely !!!)

Notice that 42 falls exactly between two squares, 36 and 49......so we would expect that it's square root would fall exactly between 6 and 7......but it isn't quite so!!!

2⁵⁶ = 72,057,594,037,927,936    (about 72 quadrillion in "short scale" terminology)

U on drugs?????

-(-12m)  = + 12m

So, you have:  m - 5 + 12m            (Adding m to 12m, you get 13m)

        =  -5 + 13m     or     13m - 5

-3(1-z) > 9     distribute the -3 over the terms in the parentheses

-3 + 3z > 9     add 3 to both sides

3z > 12           divide each side by 3

z > 4

thanks Chris, i thought wolfram would give the answer.  I just had not gone there.  :)

We are not here to do all your homework for you anonymous!      

In class A:  20 students each raising $18.00:  20 x $18.00  =  $XXX.XX

In class B:  24 students.  Since each student raised twice as much money as each student in class A did, each                                         student raised $18.00 x 2 or $YY.YY.

                 24 students each raising $YY.YY:  24 x $YY.YY  =  $ZZZ.ZZ

The two classes together raised  $XXX.XX + $ZZZ.ZZ  =  $WWWW.WW

Since one charity received 3 times the other, one charity received 1/4 of the total while the other charity received 3/4 of the total. Find 1/4 and 3/4 of $WWWW.WW

Which prob button?

you can enter

nCr(   ,    )

or

nPr(   ,   )

Dividing by fraction is the same as multiplying by the reciprocal of that fraction. So it would be the same as 5 * 3/2.

5/1 * 3/2 = 15/2

3x=-8-7

3x=-15

x=-5

or

$${\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{e}} = {\mathtt{48.929\: \!072\: \!912\: \!262\: \!814\: \!2}}$$

I f you are at school you probably have only heard of 'real' numbers

You cannot find the square root of a negative number in the real number system - there is no real solution.

Nlothing multiplied by itself will be negative.    

Geno's answer is correct in the imaginary number system.

Could you show your working please Haley.

Good one Chris :)

TRUE

115%>100%

How did you get the 0.0414 Alan.  

I assume you used a different calc?