Question

If 49^2x-1 = 343^6, find the value of 5^3x-13​

Answer 1

Answer:

25

Step-by-step explanation:

${49}^{2x - 1} = {7}^{2(2x - 1)}$

${343}^{6} = {7}^{3(6)}$

${7}^{4x - 2} = {7}^{18}$

$4x - 2 = 18 \\ 4x = 20 \\ x = 5$

${5}^{3x - 13} = {5}^{3 \times 5 - 13 } = {5}^{15 - 13} = {5}^{2} = 25$