Can someone plz help me solved this problem! Need help ASAP! Help me !

Mathematics

1 answer:

lana66690 [7]3 years ago

5 0

Answer: 5, 8

<u>Step-by-step explanation:</u>

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8

23 < 3x + 8 < 32

15 < 3x < 24 <em> subtracted 8 from all 3 sides</em>

--> 5 < x < 8 <em>divided 3 from all 3 sides</em>

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Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$