Answer:
[tex]m=6[/tex]
Step-by-step explanation:
if 36^12-m=6^2m , find the value of m
[tex]36^{12-m}=6^{2m}[/tex]
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
[tex]6^{2(12-m)}=6^{2m}[/tex]
[tex]6^{24-2m}=6^{2m}[/tex]
now base of both sides are same . so we equate the exponents
[tex]24-2m= 2m[/tex]
add 2m on both sides
[tex]24=4m[/tex]
divide by 4 on both sides
[tex]6=m[/tex]
The value of m is 6
