What is the answer to 0=log_{10}(x+1)+x/(x+1) ?

The answer to 0=log_{10}(x+1)+x/(x+1) is x=0

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0=log_{10}(x+1)+x/(x+1)

0 = lo g_{10} (x + 1) + \frac{x}{x + 1}

x = 0

Solution steps

0 = lo g_{10} (x + 1) + \frac{x}{x + 1}

Switch sides

lo g_{10} (x + 1) + \frac{x}{x + 1} = 0

Move

\frac{x}{x + 1}

to the right side

lo g_{10} (x + 1) = - \frac{x}{x + 1}

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

1 0^{l o g_{10} (x + 1)} = 1 0^{- \frac{x}{x + 1}}

Simplify

1 0^{l o g_{10} (x + 1)} : x + 1

x + 1 = 1 0^{- \frac{x}{x + 1}}

Solve

x + 1 = 1 0^{- \frac{x}{x + 1}} : x = 0

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

ln ((x + 2)^{2}) = 12

lo g_{4} (x^{2} + x + 3) = 1

ln (2 x + 4) = 3

6 lo g_{10} (x - 7) = 13

lo g_{10} (2 x - 3) = 0

What is the answer to 0=log_{10}(x+1)+x/(x+1) ?
The answer to 0=log_{10}(x+1)+x/(x+1) is x=0
Solve for x: 0=log_{10}(x+1)+x/(x+1)
The solution is x=0