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

The answer to log_{x+2}(9x)=2 is x=4,x=1

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log_{x+2}(9x)=2

lo g_{x + 2} (9 x) = 2

x = 4, x = 1

Solution steps

lo g_{x + 2} (9 x) = 2

Apply log rules

\frac{ln ( 9 x )}{ln ( x + 2 )} = 2

Multiply both sides by

ln (x + 2)

\frac{ln ( 9 x )}{ln ( x + 2 )} ln (x + 2) = 2 ln (x + 2)

Simplify

ln (9 x) = 2 ln (x + 2)

Apply log rules

9 x = (x + 2)^{2}

Solve

9 x = (x + 2)^{2} : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

True

The solutions are

x = 4, x = 1

ln (x^{2}) = 2

lo g_{5} (x) + 8 lo g_{25} (x) = - 10

\frac{1}{2 lo g _{10} ( 2 x - 1 ) + 2} = 5

5 lo g_{x} (16) = 10

3 lo g_{8} (x) = 1

What is the answer to log_{x+2}(9x)=2 ?
The answer to log_{x+2}(9x)=2 is x=4,x=1
Solve for x: log_{x+2}(9x)=2
The solution is x=4,x=1