Germany | Can you solve this ? | Math Olympiad

[@RyanLewis-Johnson-wq6xs]

4^Log[4,1.5]+2=24 Input x=Log[4,1.5]+2
4^(log(4, 1.5) + 2) = 24
Result
True
Logarithmic form
(log(4, 1.5) + 2) log(4, 4) = log(4, 24)

[@RyanLewis-Johnson-wq6xs]

Log[4,1.5]+2=(3+Log[2,3])/2

[@SidneiMV]

2²ˣ = 2³3
2²ˣ⁻³ = 3
2x - 3 = log₂3
x = (3 + log₂3)/2

[@АндрейКожевников-о8й]

Х=2.25