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2 votes
If
2^(x) = 1/32 , find the value of x

User Eden
by
8.4k points

2 Answers

5 votes

Explanation:

you have to make sure the bases are the same

2 multiplied by itself 5 times equals 32

then equate the powers and solve for x

If 2^(x) = 1/32 , find the value of x-example-1
User Alexandru Luchian
by
8.1k points
4 votes

Answer:

x = -5

Explanation:

Given the equation of:


\displaystyle{2^x = (1)/(32)}

32 can be written in an exponential form of base 2 as 2⁵ since 2⁵ equals to 32.


\displaystyle{2^x = (1)/(2^5)}

Apply the law of exponent where:


\displaystyle{(1)/(a^n) = a^(-n)}

Therefore:


\displaystyle{2^x = 2^(-5)}

We have same base for both sides. Compare and consider the exponents only:


\displaystyle{x=-5}

Therefore, the value of x is -5.

User Marco Romelli
by
7.7k points

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