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Wednesday 5 June 2013

EXPONENTIAL EQUATIONS-1

If 32^y-1 = 128^y ; find y

Solution

32^y-1 = 128^yFind prime factors of 32 and 128.

(2⁵)^y-1= (2⁷)^ymultiply the powers.

2^5y-5 = 2^7y when bases are alike they cancel out.

2^5y-5 = 2^7y

5y – 5 = 7y simple algebra

5y – 7y = 5

-2y = 5

- 2y = 5

- 2 -2

y = 5/-2

Hence y =5/-2

1 comment:

mnyamisi8 February 2014 at 12:29
Well arranged and Organized...
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