CPhill

I think you want the volume of a sphere....so we have....

(4/3)pi(12)^3 =  about 7238.23 cubic units

2log(3)+log(4)-1/2log(25)     .... we have

log3^2 + log4 - log25^(1/2)  =  using alogb = logb^a

log 9 + log 4 - log 5  =   using loga + logb - logc  = log[(a*b)/c]

log[(9*4) / 5] =

log(36/5)  =

about . 857

I assume you have  ⁴√[(x^8*y^6*z^7]  = (x^8*y^6*z^7)^(1/4)

And using the rule   (a^m)^n = a^(m *n)   we have

x^2 * y^(6/4) * z^(7/4) = x^2 * y^(3/2) * z^(7/4)    .....note.....we are assuming that y, z  > 0

The term will be

-C(10, 5)* (x^5) *(2^5)  =

- 8064x^5    ....so the coefficient is -8064

It looks like you want to find the inverse of f(x)...(not the "inverse derivative" )....this one is not easy.....

WolframAlpha gives the inverse as....

To evaluate f^-1(3).....we can evaluate   f(x) where y= 3  

So

The first 3 digit positive integer that is divisible by 3 is 102 and the last one is 999....so we have

(999-102)/3 + 1  = 300  ....  3 digit numbers divisible by 3

But only 1/2 of these are even....so.....(1/2) of 300   = 150

Then, you're probably on the wrong website....!!!!

Good job....silver27....!!!

There's nothing to resolve.....if we knew " m " we could graph it.....do you have that??

Let x be the "10s" digit and y be the "1s" digit   and the value of the number is 10x + y

"The sum of the digits = 8"   implies   x + y = 8  which implies that y = 8 - x

"The value of the number is 2 less than 10 times the 10s digit" implies   10x + y + 2 = 11x

So...subbing in y = 8 - x into the second equation, we have

10x + (8 - x) + 2 = 11x   simplify

9x + 10 = 11x   subtract 9x from both sides

10 = 2x      so  x = 5      y = 8 - 5 = 3

So..the number is 53....!!!