Question

give me the ans quickly 26 no
^_^

Answer 1

Sol : Given,

3^ ( 2x - 8 )             5³
-------------------  =  -----------
        225                5^x

3^ ( 2 x - 8 ) * 5^x = 5³ * 225

3^( 2x - 8 ) * 5^x = 5³ * 5² * 3²  { 225 = 5² * 3² }

3^( 2x - 8 ) * 5^x = 5^5 * 3²

By comparing bases , we got that ,

2x - 8 = 2          or x = 5.

 2x = 2 + 8

 2 x = 10

  x = 10/2

  x = 5

In both situation x = 5 , so final answer is 5.

                             ___________________________________