What is the answer to log_{10}(2x+1)=log_{10}(x+6) ?

The answer to log_{10}(2x+1)=log_{10}(x+6) is x=5

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log_{10}(2x+1)=log_{10}(x+6)

lo g_{10} (2 x + 1) = lo g_{10} (x + 6)

x = 5

Solution steps

lo g_{10} (2 x + 1) = lo g_{10} (x + 6)

Apply log rules

2 x + 1 = x + 6

Solve

2 x + 1 = x + 6 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

ln (5 x - 3) = ln (2 x)

lo g_{b} (3125) = - 5

0.59 = ln (y)

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

lo g_{5} (x^{2}) = - 2

What is the answer to log_{10}(2x+1)=log_{10}(x+6) ?
The answer to log_{10}(2x+1)=log_{10}(x+6) is x=5
Solve for x: log_{10}(2x+1)=log_{10}(x+6)
The solution is x=5