What is the answer to log_{10}(5x)=log_{10}(2x+9) ?

The answer to log_{10}(5x)=log_{10}(2x+9) is x=3

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log_{10}(5x)=log_{10}(2x+9)

lo g_{10} (5 x) = lo g_{10} (2 x + 9)

x = 3

Solution steps

lo g_{10} (5 x) = lo g_{10} (2 x + 9)

Apply log rules

5 x = 2 x + 9

Solve

5 x = 2 x + 9 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

ln ((x - 1)^{2} (x - 2)^{2}) = ln (4)

lo g_{5} (12 x + 5) = 3

lo g_{3} (p) + lo g_{27} (3 p) = - 1

4 ln (5 x + 3) - 11 = 13

lo g_{6} (4 (x - 1)) = 2

What is the answer to log_{10}(5x)=log_{10}(2x+9) ?
The answer to log_{10}(5x)=log_{10}(2x+9) is x=3
Solve for x: log_{10}(5x)=log_{10}(2x+9)
The solution is x=3