52x-1-25x-1=25000,then what is the value of “x”.

Asked by M.s.srinidhi21 | 24th Oct, 2014, 08:28: AM

Expert Answer:

5 to the power of 2 x minus 1 end exponent minus 25 to the power of x minus 1 end exponent equals 25000 rightwards double arrow 25 to the power of x over 5 minus 25 to the power of x over 25 equals 25000 rightwards double arrow 25 to the power of x open parentheses 1 fifth minus 1 over 25 close parentheses equals 25000 rightwards double arrow 25 to the power of x open parentheses fraction numerator 5 minus 1 over denominator 25 end fraction close parentheses equals 25000 rightwards double arrow 25 to the power of x cross times 4 over 25 equals 25000 rightwards double arrow 25 to the power of x equals 25000 cross times 25 over 4 rightwards double arrow 25 to the power of x equals 25 cross times 1000 over 4 cross times 25 rightwards double arrow 25 to the power of x equals 25 cross times 250 cross times 25 rightwards double arrow 25 to the power of x equals open parentheses 25 close parentheses cubed cross times 10 I f space i n space t h i s space q u e s t i o n comma space t h e space R H S space w o u l d space h a v e space b e e n space 2500 comma space t h e n space t h e space a n s w e r space w o u l d space h a v e space b e e n space rightwards double arrow 25 to the power of x equals 25 cubed rightwards double arrow x equals 3 space left square bracket I f space b a s e s space a r e space s a m e comma space p o w e r s space a r e space e q u a l right square bracket I f space t h e space R H S space i s space n o t space 2500 comma space o r space t h e r e space a r e space a n y space o t h e r space c h a n g e s comma space t h e n space log a r i t h m space h a v e space t o space b e space u s e d. P l e a s e space i n f o r m space a b o u t space t h e space c o r r e c t space q u e s t i o n.

Answered by Prasenjit Paul | 24th Oct, 2014, 09:51: PM

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