14 uždavinys
Išspręskite lygtį $$lg(x+0.2)-1 = 0$$
Sprendimas.
lg(x+0.2)-1 =
0
0
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lg(x+0.2)-1 = 0$$lg(x+0.2)-1$$ = $$0$$
lg(x+0.2) = 0+1$$lg(x+0.2)$$ = $$0+1$$
lg(x+0.2) = 1$$lg(x+0.2)$$ = $$1$$
x+0.2 = 10^1$$x+0.2$$ = $$10^{1}$$
x = 10^1-0.2$$x$$ = $$10^{1}-0.2$$
$${\normalsize 10^{1}-0.2}$$ = $${\normalsize 9.8}$$
x = 9.8$$x$$ = $$9.8$$
$$lg(x+0.2)-1$$ = $$0$$
$$lg(x+0.2)$$ = $$1$$
$$x+0.2$$ = $$10^{1}$$
$$x$$ = $$9.8$$
Atsakymas: x = 9.8