1Thanks
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About LinkBacksUse the index lawto simplify the LHS, then you can set the exponents equal to each other and solve for P.
I have been looking hard online ect. for help regarding solving questions asking me find a variable which is an exponent without using logs. I have no idea how to manipulate a formula to solve these problems, and I would greatly respect any help.example question: x^P/x^-2 = x^5/2 Find P
Thank you, although I am still having a brain fart when it comes to the simplified form. I followed that law to get x^P+2 = x^5/2. I then subtracted 2 ( after making denominators the same) x^P+ 4/2 - 4/2 = x^ 5/2 - 4/2 I am left with x^P = x^1/2 Therefore p must equal 1/2 Am I correct?
You REALLY need to work on setting out your algebra correctly. I can see that your thinking is correct, and you ended up with the right answer of P = 1/2, but it is set out so badly that it's almost unreadable... It should be
} &= x^{\frac{5}{2}} \\ x^{P + 2} &= x^{\frac{5}{2}} \\ P + 2 &= \frac{5}{2} \\ P + \frac{4}{2} &= \frac{5}{2} \\ P &= \frac{1}{2} \end{align*})
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