Answer :

cube3461

x=2.5

as

25squredx+3 so u take the power 3 to the other side then it will be

25squredx =125 to the power -1

squredx=125÷25

x=5÷2

x=2.5

luisejr77

Answer: [tex]x=-6[/tex]

Step-by-step explanation:

Remember that:

[tex]a^x=a^y[/tex]→[tex]x=y[/tex]

The Power of a power property states that:

[tex](a^m)^n=a^{mn}[/tex]

Then, descompose 25 and 125 into their prime factors:

[tex]25=5*5=5^2\\125=5*5*5=5^3[/tex]

Rewrite the expression:

[tex](5^2)^{2x+3} =(5^3)^{x}[/tex]

Then:

[tex]5^{4x+6} =5^{3x}\\4x+6=3x[/tex]

Now, you can solve for x. Therefore you get that the result is

[tex]4x+6=3x\\4x-3x=-6\\x=-6[/tex]

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