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Which equation is equivalent to 4^x+3=64?

a) 2^x+6=2^4
b) 2^2x+6=2^6
c) 4^2x+6=4^2
d) 4^x+3=4^6

User John Peter
by
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2 Answers

1 vote
the answer to this is b, 2^2x+6=2^6
User John Glabb
by
7.9k points
0 votes

Answer:

The correct option is: b)
2^2^x^+^6=2^6

Explanation:

The given expression is:
4^x^+^3=64

Factoring out 64 will give:
64=2* 2* 2* 2* 2* 2=2^6

Now, the given expression becomes.....


4^x^+^3=2^6\\ \\ (2^2)^x^+^3=2^6\ \ [As,\ 4=2^2]\\ \\ 2^2^(^x^+^3^)=2^6 \ \ [using\ 'power\ to\ the\ power'\ rule]\\ \\ 2^2^x^+^6=2^6

So, the equivalent expression is:
2^2^x^+^6=2^6

User Nimph
by
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