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Решаем методом устного счета.144=12^2√2(2^x)=122^х=4х3/√2x=(2-1/2)+log3Good luck!
4^a(1+1)=1444^a=144/2=72=4×18=4×9×2log4^a=log8+log92alog2=3log2+2log32a=3log2/log2+2log3/log22a=3+2log3/log2a=3/2+log3/log2
4ⁿ+4ⁿ=1442(4ⁿ)=1444ⁿ=722²ⁿ=2³•3²2^(2n-3)=3²2n-3=log_2(3²)2n-3=2[log_2(3)]2n=3+2[log_2(3)]n=1.5+log_2(3) ❤
a=log72/log4=(log8+log9)/log4≈(0.9+0.95)/0.6≈37/12≈3.0833.The deviation is about 0.0016.
Faux
Решаем методом устного счета.
144=12^2
√2(2^x)=12
2^х=4х3/√2
x=(2-1/2)+log3
Good luck!
4^a(1+1)=144
4^a=144/2=72=4×18=4×9×2
log4^a=log8+log9
2alog2=3log2+2log3
2a=3log2/log2+2log3/log2
2a=3+2log3/log2
a=3/2+log3/log2
4ⁿ+4ⁿ=144
2(4ⁿ)=144
4ⁿ=72
2²ⁿ=2³•3²
2^(2n-3)=3²
2n-3=log_2(3²)
2n-3=2[log_2(3)]
2n=3+2[log_2(3)]
n=1.5+log_2(3) ❤
a=log72/log4=(log8+log9)/log4≈(0.9+0.95)/0.6≈37/12≈3.0833.
The deviation is about 0.0016.
Faux