Question 49306
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10^(2x-1)=e^(4x-3)

Apply ln function to both sides

ln 10^(2x-1)=ln e^(4x-3)

ln 10^(2x-1)=(4x-3)    --- After cancelling the ln and e on the right hand side.

(2x-1) ln 10 = (4x-3)

2xln 10 - ln 10 = 4x-3

2xln 10 - 4x = ln 10 - 3

x(2ln10 -4) = ln 10 -3

x = {{{(ln 10 -3)/(2ln10-4)}}}
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