Answer: m = 100p
Step-by-step explanation:
logP/N = 6
Recall from laws of logarithms
log a/ b = log a - log b
Applying the law of logarithm to the equation , we have
log P - log N = 6 ....................... 1
Also apply law of logarithms to logM/N = 8 , we have
log M - log N = 8 ........................2
Combine the two equations together , we have
log P - log N = 6 .............. 1
log M - log N = 8 ................2
subtract equation 1 from eqaution 2 , we have
lop M - log P = 2
Applying the law of logarithms , we have
log ( M/P) = 2
Recall from law of logarithms: if log x = y ,then x = [tex]10^{y}[/tex]
Applying the same law , we have
M/P = [tex]10^{2}[/tex]
M = 100P
