Přepis logaritmických rovnic na exponenciální formu

Napsal uživatel ladislav.foltyn dne So, 02/23/2019 - 14:39.

Project ID:

5000000027

Accepted:

Podoblast:

Template:

Question:

Je dána logaritmická rovnice, vyberte její správnou exponenciální formu.

Question Row 1:

\log_{2} 8 = x

Answer Row 1:

2^{8} = x

x^{2} = 8

, *

2^{x} = 8

8^{x} = 2

Question Row 2:

\log_{v} n = a

Answer Row 2:

v^{a} = n

v^{n} = a

n^{a} = v

a^{n} = v

Question Row 3:

\log_{3} t = 5

Answer Row 3:

5^{t} = 3

t^{5} = 3

, *

3^{5} = t

5^{3} = t

Question Row 4:

\log_{u} \frac{1}{4} = - 2

Answer Row 4:

u^{- 2} = \frac{1}{4}

- 2^{u} = \frac{1}{4}

u^{\frac{1}{4}} = - 2

- 2^{\frac{1}{4}} = u

Question Row 5:

\log_{16} x = \frac{1}{2}

Answer Row 5:

16^{\frac{1}{2}} = x

16^{x} = \frac{1}{2}

{(\frac{1}{2})}^{16} = x

x^{\frac{1}{2}} = 16

Question Row 6:

\log_{\frac{1}{2}} y = - 3

Answer Row 6:

y^{\frac{1}{2}} = - 3

y^{- 3} = \frac{1}{2}

, *

{(\frac{1}{2})}^{- 3} = y

- 3^{y} = \frac{1}{2}

Question Row 7:

$\ln p = -1$

Answer Row 7:

p^{- 1} = e

, *

e^{- 1} = p

p^{e} = - 1

e^{p} = - 1

Question Row 8:

\log 100 = b

Answer Row 8:

10^{b} = 100

b^{10} = 100

100^{10} = b

b^{100} = 10

Tex:

% tiket 32667 \pocetsloupcu{4}

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