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If $$5^12$$ x 125 = $$5^3x$$, find the value of x
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It's Wrong!
To find the value of x in the equation $$5^12$$ x 125 = $$5^3x$$, you can use the properties of exponents to equate the powers of 5 on both sides:
$$5^12$$ x 125 = $$5^3x$$
First, simplify the left side:
$$5^12$$ x 125 = $$5^12$$ x $$5^3$$
Now, apply the rule for multiplying numbers with the same base when you have the same base raised to different exponents; you add the exponents:
$$5^(12$$ + 3) = $$5^15$$
So, the equation becomes:
$$5^15$$ = $$5^3x$$
Now that the bases are the same (both 5), you can equate the exponents:
15 = 3x
To solve for x, divide both sides by 3:
15 / 3 = x
x = 5
So, the value of x is 5.
