3((4log97)-1) is equal to

Asked by Anil | 3rd May, 2017, 06:59: PM

Expert Answer:

begin mathsize 16px style 3 to the power of left parenthesis left parenthesis 4 log subscript 9 7 right parenthesis minus 1 right parenthesis end exponent
equals 3 to the power of 4 log subscript 9 7 end exponent over 3
equals 3 to the power of 4 cross times begin display style fraction numerator log subscript 3 7 over denominator log subscript 3 9 end fraction end style end exponent over 3
equals 3 to the power of 2 cross times begin display style log subscript 3 7 end style end exponent over 3
equals 3 to the power of log subscript 3 7 squared end exponent over 3
equals 3 to the power of log subscript 3 49 end exponent over 3
equals 49 over 3 end style

Answered by Sneha shidid | 4th May, 2017, 09:48: AM