If  4 to the power of x space end exponent minus space 4 to the power of x minus 1 space end exponent equals 24 , find the value of left parenthesis 2 x right parenthesis to the power of x

Asked by m.goenka1999 | 26th Jul, 2014, 07:52: PM

Expert Answer:

4 to the power of x minus 4 to the power of x minus 1 end exponent equals 24 4 to the power of x minus 4 to the power of x over 4 equals 24 4 to the power of x over 4 open square brackets 4 minus 1 close square brackets equals 24 4 to the power of x minus 1 end exponent equals 24 over 3 equals 8 2 to the power of 2 x minus 2 end exponent equals 2 cubed rightwards double arrow 2 x minus 2 equals 3 x equals 5 over 2  open parentheses 2 x close parentheses to the power of x equals 5 to the power of 5 over 2 end exponent equals 25 square root of 5

Answered by Dharma Teja | 27th Jul, 2014, 12:28: PM