Pls tell this answer somebody fast

Mathematics

1 answer:

kherson [118]2 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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