What is the answer to log_{x}(9x-20)=2 ?

The answer to log_{x}(9x-20)=2 is x=5,x=4

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log_{x}(9x-20)=2

lo g_{x} (9 x - 20) = 2

x = 5, x = 4

Solution steps

lo g_{x} (9 x - 20) = 2

Apply log rules

\frac{ln ( 9 x - 20 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 9 x - 20 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (9 x - 20) = 2 ln (x)

Apply log rules

9 x - 20 = x^{2}

Solve

9 x - 20 = x^{2} : x = 5, x = 4

x = 5, x = 4

Verify Solutions:

x = 5

True

, x = 4

True

The solutions are

x = 5, x = 4

x, ln (x^{2}) = 4

ln (4 x - 1) - 3 ln (9) = 2 ln (3)

lo g_{3} (25 - x^{2}) = 2

ln (a) = 8 ln (9) - 12 ln (3)

0.064 = - lo g_{10} (x)

What is the answer to log_{x}(9x-20)=2 ?
The answer to log_{x}(9x-20)=2 is x=5,x=4
Solve for x: log_{x}(9x-20)=2
The solution is x=5,x=4