What is the answer to solvefor x,log_{x}(2x+15)=2 ?

The answer to solvefor x,log_{x}(2x+15)=2 is x=5

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solvefor x,log_{x}(2x+15)=2

solve for

x, lo g_{x} (2 x + 15) = 2

x = 5

Solution steps

lo g_{x} (2 x + 15) = 2

Apply log rules

\frac{ln ( 2 x + 15 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 2 x + 15 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (2 x + 15) = 2 ln (x)

Apply log rules

2 x + 15 = x^{2}

Solve

2 x + 15 = x^{2} : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

True

, x = - 3

False

The solution is

x = 5

lo g_{10} (n) = 3600000

lo g_{3} (9 x - 2) = 2 + 4 lo g_{9} (x)

lo g_{10} (m) = 2003

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

What is the answer to solvefor x,log_{x}(2x+15)=2 ?
The answer to solvefor x,log_{x}(2x+15)=2 is x=5