Question

what is the solution of this exponential function ?$5^{6-x} =25^{2x+13}$

Answer 1

Answer:

x = -4

Step-by-step explanation:

${5}^{6 - x} = {25}^{2x + 13} \\ \\ {5}^{6 - x} = {5}^{2 \times (2x + 13)} \\ \\ {5}^{6 - x} = {5}^{4x + 26} \\ \\ \sf \: comparing \: powers \: on \: both \: sides \\ \\ 6 - x = 4x + 26 \\ \\ - x - 4x = 26 - 6 \\ \\ - 5x = 20 \\ \\ x = - 4$

Hope it helps U.