Answer:
\(m=6\)
Step-by-step explanation:
if 36^12-m=6^2m , find the value of m
\(36^{12-m}=6^{2m}\)
To make the exponents equal , we need to get the same base.
The base of both sides of equation are not same.
36 can be written as 6^2
\(6^{2(12-m)}=6^{2m}\)
\(6^{24-2m}=6^{2m}\)
now base of both sides are same . so we equate the exponents
\(24-2m= 2m\)
add 2m on both sides
\(24=4m\)
divide by 4 on both sides
\(6=m\)
The value of m is 6
