What is the answer to log_{x}(5*x-6)=2 ?

The answer to log_{x}(5*x-6)=2 is x=3,x=2

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log_{x}(5*x-6)=2

lo g_{x} (5 \cdot x - 6) = 2

x = 3, x = 2

Solution steps

lo g_{x} (5 x - 6) = 2

Apply log rules

\frac{ln ( 5 x - 6 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 5 x - 6 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (5 x - 6) = 2 ln (x)

Apply log rules

5 x - 6 = x^{2}

Solve

5 x - 6 = x^{2} : x = 3, x = 2

x = 3, x = 2

Verify Solutions:

x = 3

True

, x = 2

True

The solutions are

x = 3, x = 2

lo g_{3} (2 \cdot x) = 10

(2 x)^{l n (2 x)} = e^{2} (2 x)

lo g_{a} (y) + lo g_{a} (5) = 7

lo g_{10} (4 x + 8) = 2 + lo g_{10} (3)

ln (3) + ln (6 - x) = 2 ln (x)

What is the answer to log_{x}(5*x-6)=2 ?
The answer to log_{x}(5*x-6)=2 is x=3,x=2
Solve for x: log_{x}(5*x-6)=2
The solution is x=3,x=2