Please solve this and explain all the steps.

Asked by aastharoy997 | 3rd Apr, 2020, 11:17: AM

Expert Answer:

3= (0.03)= 1000
begin mathsize 16px style rightwards double arrow 3 to the power of straight x space equals space 10 cubed
rightwards double arrow straight x space log 3 space equals space 3 log 10
rightwards double arrow log 3 space equals space 3 over straight x space space... space left parenthesis 1 right parenthesis
left parenthesis 0.03 right parenthesis to the power of straight y space equals space 10 cubed
rightwards double arrow ylog 3 over 100 equals 3 log 10
rightwards double arrow log 3 over 100 equals space 3 over straight y space space space... space left parenthesis 2 right parenthesis
Subtracting space left parenthesis 2 right parenthesis space from space left parenthesis 1 right parenthesis comma space we space get
log 3 space minus space log 3 over 100 space equals space 3 over straight x space minus space 3 over straight y
rightwards double arrow log fraction numerator 3 cross times 100 over denominator 3 end fraction equals space 3 over straight x space minus space 3 over straight y
rightwards double arrow log 10 squared space equals space 3 open parentheses 1 over straight x minus 1 over straight y close parentheses
rightwards double arrow fraction numerator 1 over denominator space straight x end fraction minus 1 over straight y space equals 2 over 3 end style
 

Answered by Yasmeen Khan | 3rd Apr, 2020, 01:27: PM