What is the answer to solvefor y,x=log_{5}(-4y+6)+4 ?

The answer to solvefor y,x=log_{5}(-4y+6)+4 is y=-(5^{x-4}-6)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x=log_{5}(-4y+6)+4

solve for

y, x = lo g_{5} (- 4 y + 6) + 4

y = - \frac{5 ^{x - 4} - 6}{4}

Solution steps

x = lo g_{5} (- 4 y + 6) + 4

Switch sides

lo g_{5} (- 4 y + 6) + 4 = x

Move

4

to the right side

lo g_{5} (- 4 y + 6) = x - 4

Apply log rules

- 4 y + 6 = 5^{x - 4}

Solve

- 4 y + 6 = 5^{x - 4} : y = - \frac{5 ^{x - 4} - 6}{4}

y = - \frac{5 ^{x - 4} - 6}{4}

Verify Solutions:

y = - \frac{5 ^{x - 4} - 6}{4}

True

The solution is

y = - \frac{5 ^{x - 4} - 6}{4}

ln (5) + ln (2 x) = 3

- lo g_{10} (x) = 4.1

lo g_{4 x} (x) = \frac{9}{5}

ln (x) + ln (4) = 2

lo g_{3} (x^{2} + 9) = 4

What is the answer to solvefor y,x=log_{5}(-4y+6)+4 ?
The answer to solvefor y,x=log_{5}(-4y+6)+4 is y=-(5^{x-4}-6)/4