What is the answer to log_{x}(6x-8)=2 ?

The answer to log_{x}(6x-8)=2 is x=4,x=2

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log_{x}(6x-8)=2

lo g_{x} (6 x - 8) = 2

x = 4, x = 2

Solution steps

lo g_{x} (6 x - 8) = 2

Apply log rules

\frac{ln ( 6 x - 8 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 6 x - 8 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (6 x - 8) = 2 ln (x)

Apply log rules

6 x - 8 = x^{2}

Solve

6 x - 8 = x^{2} : x = 4, x = 2

x = 4, x = 2

Verify Solutions:

x = 4

True

, x = 2

True

The solutions are

x = 4, x = 2

ln (x + 3) = 4

ln (x) = 8

lo g_{3} (2 x - 1) = 2

lo g_{2} (x) = 4.5

lo g_{5} (x + 3) - lo g_{5} (x) = 2

What is the answer to log_{x}(6x-8)=2 ?
The answer to log_{x}(6x-8)=2 is x=4,x=2
Solve for x: log_{x}(6x-8)=2
The solution is x=4,x=2