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oksano4ka [1.4K]
3 years ago
7

Pls tell this answer somebody fast ​

Mathematics
1 answer:
kherson [118]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)}

Note that 49 = 7² and 343 = 7³

Consider the left side, that is

\frac{7^{2x+1} }{7^2} = 7^{(2x+1-2)} = 7^{(2x-1)} , thus

7^{(2x-1)} = 7³

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

2x - 1 = 3 ( add 1 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

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