Question

3-5 x 32x+1 = 3^13÷3^7
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Answer 1

Answer:

5

Step-by-step explanation:

${3}^{ - 5} \times {3}^{2x + 1} = \: {3}^{13} \div {3}^{7} \\ by \: using \: identities \: \\ { {a}^ {m} } \times {a}^{n} = {a}^{m + n} \\ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \\ {3}^{ - 5 + 2x + 1} = {3}^{13 - 7} \\ {3}^{2x - 4} = {3}^{6}$

Comparing exponent of both sides.

$\\ 2x - 4 = 6 \\ 2x = 10 \\ x = 5$

Answer 2

Step-by-step explanation:

answer is 5

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