Question

find the value of x if 3⁴ × 3⁵ = (3³)x​

Answer 1

Answer:

${3}^{6}$

Step-by-step explanation:

give me a thanks for the answer

Answer 2

Answer:

x = 3

Step-by-step explanation:

$find \: the \: value \: of \: x \: if \\ {3}^{4} \times {3}^{5} = { {(3}^{3}) }^{x} \\ \\ = > {3}^{4 + 5} = {3}^{3 \times x} \\ \\ = > {3}^{9} = {3}^{3 \times x} \\ \\ = = 9 = 3 \times x \\ \\ = > 9 \div 3 = x \\ \\ = > 3 = x \\ \\ = > x = 3$

Hence the value of x = 3.

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Remember some formula you should use in these questions -

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When bases are same (here considered x),

${x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \\ {(x {}^{m} )}^{n} = {x}^{m \times n} \\ \\ when \: {x}^{m} = {x}^{n} \\ so \: m = n$

By using 1st, 3rd and 4th we have solved this question.

hope it helps.