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devlian [24]
3 years ago
6

What is equivalent to this equation 4^x+3=64

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer: 2^{(2x+6)}=2^6


Step-by-step explanation: We are given an exponential equation

4^{x+3}=64.

We need to convert it into it's equivalent equation.

Let us factor 4.

4 = 2 × 2

Therefore, 2 × 2 could be written as (2)^2.

Now, let us factor 64 in terms of 2's.

64 = 2 × 2× 2× 2× 2× 2 = 2^6.

Replacing 4 by 2^2 and 64 by 2^6 in original equation, we get

2^2^{(x+3)}=2^6

Distributing 2 over (x+3), we get

2^{(2x+6)}=2^6


Umnica [9.8K]3 years ago
4 0
<span><span> x-4/x3-64</span> </span>Final result :<span> x4 - 64x3 - 4 ————————————— x3 </span>
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