If 3x=4x-1, then x=

Asked by Anil | 10th May, 2017, 08:00: PM

Expert Answer:

begin mathsize 16px style 3 to the power of straight x equals 4 to the power of straight x minus 1 end exponent
rightwards double arrow 3 to the power of straight x equals 4 to the power of straight x over 4
rightwards double arrow 4 equals open parentheses 4 over 3 close parentheses to the power of straight x
Taking space log space on space both space sides comma
rightwards double arrow log 4 equals straight x open parentheses log 4 minus log 3 close parentheses
rightwards double arrow straight x equals fraction numerator log 4 over denominator log 4 minus log 3 end fraction equals 4.818 end style

Answered by Sneha shidid | 11th May, 2017, 10:51: AM