Mathematics

Question

if 36^12-m=6^2m what is the value of m??

2 Answer

  • 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

  • Answer:

    Calculator said 6!!!!!!!!!

    Step-by-step explanation:

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