Question

if 49^2x-1=(343)^6 then find the value of 5^3x-13

Answer 1

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Here is your answer
$49 {}^{2x - 1} = (343) {}^{6} \\ {7}^{2(2x - 1)} = ( {7}^{3} ) {}^{6} \\ {7}^{4x - 2} = {7}^{3 \times 6} \\ as \: same \: base \: so \: power \: is \: same \\ 4x - 2 = 3 \times 6 \\ 4x = 18 + 2 \\ 4x = 20 \\ x = \frac{20}{4} \\ x = 5$
Now we have to find the value of
${5}^{3x - 13} \\ = {5}^{3 \times 5 - 13} \\ = {5}^{15 - 13} \\ = {5}^{2} \\ = 25$
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Answer 2

Answer:

Hope it helps

Step-by-step explanation: