SOLUTION: need to solve for an "X" exponent: 2 (x power) = 1/4 I know the answer but dont know how to show it by solving it algebracially

Question 32253: need to solve for an "X" exponent: 2 (x power) = 1/4
I know the answer but dont know how to show it by solving it algebracially
Answer by ikdeep(226) (Show Source): You can put this solution on YOUR website!
2 (x power) = 1/4
2^x = (1/2)^2.........here ^2 and ^x means power
now, take reciprocal or RHS ,,,,and you would know that when we take reciprocal,,the sign of its power changes ,,,so here we get...
2^x = (2)^-2
as the bases are same so they would be eliminated and we get......
x = -2
Now if you want to verify you answer ,,,you can put the values of x in the given equation and if you get LHS = RHS,,,this means that you answer is correct..
Hope this will help you
Please feel free to revert back for any further queries.

RELATED QUESTIONS
How do i solve, I know the answer is 8 but i dont know how to get it. 1/2+2/x=3/4 (answered by stanbon)

X+9=-2 WHERE DO I START WITH THIS PROBLEM? I NEED TO KNOW ALL THE SSTEPS I USE TO SOLVE... (answered by longjonsilver)

sole & check for extraneous solutions. X^1/2-(x-5)^1/2=2 some how the answer is 81/16 (answered by lwsshak3)

how do I solve x to the -3 power in parenthesis and a 2 outside the parenthesis? I know... (answered by stanbon)

solve for x 2 to the power of x + 5 = 3 to the power of x I know the answer (answered by stanbon)

solve for x 2 to the power of x + 5 = 3 to the power of x I know the answer (answered by Fombitz)

i do not know how to solve equations where there is a negative exponent. im sorry, i... (answered by jim_thompson5910)

Good morning guys:) I have an equation that says The N is an exponent yet I will... (answered by Alan3354)

well i hav a question about 2x2+15x-8=0 the 2 next to x is an exponent sorry i dont know... (answered by checkley71)