Question

solve...............

Answer 1

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$= > \: {18}^{4x - 3} = {(54 \sqrt{2}) }^{3x - 4} \\ \\ or. \: \: {(2 \times {3}^{2}) }^{4x - 3} = (2 \times {3}^{3} \times \sqrt{2} )^{3x - 4} \\ \\ or. \: \: {( {( \sqrt{2}) }^{2} \times {3}^{2} ) }^{4x - 3} = { {(( \sqrt{2}) }^{3} \times {3}^{3}) }^{3x - 4} \\ \\ or. \: \: {(3 \sqrt{2}) }^{2(4x - 3)} = {(3 \sqrt{2}) }^{3(3x - 4)} \\ \\ so...comparingly \: \: we \: \: get... \\ \\ = > 2(4x - 3) = 3(3x - 4) \\ \\ or. \: \: 8x - 6 = 9x - 12 \\ \\ or. \: \: 9x - 8x = 12 - 6 \\ \\ or. \: \: x = 6 ....(answer)...$
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Answer 2

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