logarytmy

matematykaszkolna.pl

logarytmy kako: oblicz:

	⁴√8
log_√2(		)
	2

√2^log₂3

5 gru 17:17

Mati_gg9225535:

	⁴√8
1) log_√2		= x
	2

	⁴√8
√2^x =
	2

	2^3/4
2^1/2x =
	2

2^1/2x = 2^−1/4 1/2x = −1/4 /*2

	1
x = −
	2

2) √2^log₂3 = 2^1/2log₂3 = 2^log₂√3 = √3

5 gru 17:23