Solve for X: Formula Conversion Math Problem

[lowgear]

I haven't done this type of math for too many years to remember. I use math daily in my work, but for the life of me I can't seem to figure out how to do this conversion. Could someone please help, I will be very grateful.
Thanks
lowgear

1.3*((X*10)^.625/(X+10)^.25) = 11.9626


I need to know how to find X

 

[dav2008]

Please don't double (or triple) post your threads. One thread in an appropriate forum for the question will suffice.

You have received replies in both of the threads you have made on this topic.

https://www.physicsforums.com/showthread.php?t=121828
and
https://www.physicsforums.com/showthread.php?t=121628

 

[ravenprp]

.

To solve for X, we need to isolate it on one side of the equation. First, we can simplify the expression inside the parentheses by multiplying the exponents:
1.3*((X*10)^(.625-.25)) = 11.9626

Next, we can use the power rule to simplify the expression:
1.3*((X*10)^.375) = 11.9626

Then, we can use the power rule again to move the exponent outside the parentheses:
1.3*(X^0.375 * 10^0.375) = 11.9626

Now, we can divide both sides by 1.3 to isolate the X term:
X^0.375 * 10^0.375 = 9.20438

Next, we can take the 0.375th root of both sides to eliminate the exponent on the X term:
X = (9.20438/10)^1/0.375

Finally, we can use a calculator to solve for X and get an approximate value of 14.21.

Therefore, the value of X is approximately 14.21. I hope this helps! If you have any further questions, don't hesitate to ask.