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Solve for [tex]\( y \)[/tex]:

[tex]\[ 2^y = 2^6 \][/tex]


Sagot :

To solve the equation [tex]\(2^y = 2^6\)[/tex], we can use the property of exponents that states if the bases are the same, we can set the exponents equal to each other.

Given:
[tex]\[ 2^y = 2^6 \][/tex]

Since the base (2) is the same on both sides of the equation, the exponents must also be equal for the equation to hold true. Therefore, we equate the exponents:

[tex]\[ y = 6 \][/tex]

Therefore, the solution to the equation [tex]\(2^y = 2^6\)[/tex] is:
[tex]\[ y = 6 \][/tex]