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scZoUnD [109]
2 years ago
7

How do i solve 4^x=32?​

Mathematics
2 answers:
Nady [450]2 years ago
7 0

Answer:

x = 2.5

Step-by-step explanation:

Using the rule of exponents

(a^m)^{n} = a^{mn}

Note that 4 = 2² and 32 = 2^{5}, then

(2^2)^{x} = 2^{5}, that is

2^{2x} = 2^{5}

Since the bases on both sides are equal, equate the exponents

2x = 5 ( divide both sides by 2 )

x = 2.5

KengaRu [80]2 years ago
6 0

Answer:

x = 2.5

Step-by-step explanation:

4^2.5 = 32

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