What is the answer to 5-4log_{3}(x)=log_{x}(3) ?

The answer to 5-4log_{3}(x)=log_{x}(3) is x=\sqrt[4]{3},x=3

Solve for x: 5-4log_{3}(x)=log_{x}(3)

The solution is x=\sqrt[4]{3},x=3

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5 - 4 lo g_{3} (x) = lo g_{x} (3)

Solution steps

5 - 4 lo g_{3} (x) = lo g_{x} (3)

Apply log rules

5 - 4 lo g_{3} (x) = \frac{1}{lo g _{3} ( x )}

Rewrite the equation with

lo g_{3} (x) = u

5 - 4 u = \frac{1}{u}

Solve

5 - 4 u = \frac{1}{u} : u = \frac{1}{4}, u = 1

u = \frac{1}{4}, u = 1

Substitute back

u = lo g_{3} (x),

solve for

x

Solve

lo g_{3} (x) = 1 : x = 3

Verify Solutions:

True

, x = 3

True

The solutions are

0.59 = lo g_{10} (x)

lo g_{x} (8) = 6

lo g_{x} (8) = 2

ln (5 x + 1) + ln (3 x - 1) = ln (8 x - 3)

ln (x + 3) = 0

What is the answer to 5-4log_{3}(x)=log_{x}(3) ?
The answer to 5-4log_{3}(x)=log_{x}(3) is x=\sqrt[4]{3},x=3
Solve for x: 5-4log_{3}(x)=log_{x}(3)
The solution is x=\sqrt[4]{3},x=3