Lgx=1/2 lg 5 a-3 lg b+4lgc

Question

Lgx=1/2 lg 5 a-3 lg b+4lgc

Answer 1

Lgx=(1/2)*lg5a-3*lg5a-3*lg+4*lgc
lgx=-2,5*lg5a-lgb³+lgc⁴
lgx=lg((5a)⁻²,⁵ /b³ *c⁴)
x=c⁴/(b³ *a² *√a)

2. log₂x=-1, x=2⁻¹. x=1/2. x=0,5

3. log₁/₆x=-3, x=(1/6)⁻³. x=6³. x=216
4. log_(x) (1/16)=2, x>0
x²=1/16, x=√(1/16)
x=1/4, x=0,25