What is the answer to log_{k}(3)= 14/25 ?

The answer to log_{k}(3)= 14/25 is k=3*3^{11/14}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{k}(3)= 14/25

lo g_{k} (3) = \frac{14}{25}

k = 3 \cdot 3^{\frac{11}{14}}

Decimal Notation

k = 7.11217 \dots

Solution steps

lo g_{k} (3) = \frac{14}{25}

Apply log rules

\frac{1}{lo g _{3} ( k )} = \frac{14}{25}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 25 = lo g_{3} (k) \cdot 14

Simplify

25 = lo g_{3} (k) \cdot 14

Switch sides

lo g_{3} (k) \cdot 14 = 25

Divide both sides by

14

lo g_{3} (k) = \frac{25}{14}

Apply log rules

k = 3 \cdot 3^{\frac{11}{14}}

Verify Solutions:

k = 3 \cdot 3^{\frac{11}{14}}

True

The solution is

k = 3 \cdot 3^{\frac{11}{14}}

lo g_{2} (3 x + 6) = 2

lo g_{2} (3 x + 6) = 3

ln (x - 1) - ln (5) = ln (19)

lo g_{4} (x - 9) lo g_{4} (x - 9) = 7

3 + 3 \cdot ln (5) = 3 \cdot ln (x)

What is the answer to log_{k}(3)= 14/25 ?
The answer to log_{k}(3)= 14/25 is k=3*3^{11/14}
Solve for k: log_{k}(3)= 14/25
The solution is k=3*3^{11/14}