Question

Rozwiąż równanie:

a)

log⅓ X = -4

b)

log25 625 = X

c)

logx 2/5 = -3

d)

log4 X = 1

Answer 1

a]

x=(⅓)⁻⁴=3⁴=81

b]

25 do potegi x=625

25 do x=25²

x=2

c]

x⁻³=⅖

x ⁻³=∛(⁵/₂)⁻³

x=∛⁵/₂

d]

x=4¹=4

Answer 2

1)

log₁/₃x=-4

(1/3)-⁴=x

3⁴=x

x=81

2)

log₂₅625=x

25do potęgi x=625

5 do potęgi 2x=5⁴

2x=4 /:2

x=2

3)

log x 2/5=-3

x-³=2/5

x³=5/2

x=∛5/2

4)

log₄x=1

4¹=x

x=4