Solve 10* 2^{4 x -5} = 41

Question

so 2^{4x-5}=41/10
ln 2 * {4x-5}= ln 41/10
ln 4.1 +5/ ln 2
not sure what I'm doing wrong
Thanks

Answer 1

10 * 2^(4 x - 5) = 41 ?

2^(4 x - 5) = 4.1 agree

ln 2^(4 x - 5) = (4x-5) ln 2 = ln 4.1 agree

4 x - 5 = ln 4.1 / ln 2 = 2.036

4 x = 7.036

x = 1.76