Find x if4^2x=1/32

Asked by kaushik3199 | 28th May, 2021, 10:36: AM

Expert Answer:

begin mathsize 16px style 4 to the power of 2 straight x end exponent equals 1 over 32
rightwards double arrow open parentheses 2 squared close parentheses to the power of 2 straight x end exponent equals space 1 over 2 to the power of 5
rightwards double arrow 2 to the power of 4 straight x end exponent equals 2 to the power of negative 5 end exponent space space space space space space space space space...... space open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of mn space and space 1 over straight a to the power of straight m equals straight a
Since space base space are space same comma space
rightwards double arrow 4 straight x space equals space minus 5
rightwards double arrow space straight x equals fraction numerator negative 5 over denominator 4 end fraction minus straight m end style

Answered by Yasmeen Khan | 28th May, 2021, 02:18: PM