Question

ex 7 am nevoie, va rog mult

Answer 1

a) log₂ (x) + log₄ (x) = 3

log₂ (x) + log₂² (x) = 3

log₂ (x) + 1/2log₂ (x) = 3

log₂ (x)*(1+1/2) = 3

log₂(x)*(2/2+1/2) = 3

log₂ (x) = 3*2/3

log₂ (x) = 2

x = 2² = 4

b) 3lg x - 2lg Vx = 2

3lg x - 2lg x^(1/2) = 2

3lg x- 2 *1/2lg x = 2

3lg x - lg x = 2

2lg x = 2

lg x = 1 (lg este un logaritm care are baza 10)

log₁₀ x = 1

x = 10

c) log0,1 (5*4)/2 = x

log0,1 (10) = x

log1/10 (10) = x

log10⁻¹ (10) = x

-1 = x

x = -1