What is the answer to log_{10}(x+13)=log_{10}(x)+log_{10}(13) ?

The answer to log_{10}(x+13)=log_{10}(x)+log_{10}(13) is x= 13/12

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log_{10}(x+13)=log_{10}(x)+log_{10}(13)

lo g_{10} (x + 13) = lo g_{10} (x) + lo g_{10} (13)

x = \frac{13}{12}

Decimal

x = 1.08333 \dots

Solution steps

lo g_{10} (x + 13) = lo g_{10} (x) + lo g_{10} (13)

Apply log rules

x + 13 = x \cdot 13

Solve

x + 13 = x \cdot 13 : x = \frac{13}{12}

x = \frac{13}{12}

Verify Solutions:

x = \frac{13}{12}

True

The solution is

x = \frac{13}{12}

lo g_{5} (x - 2) = - 1

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

lo g_{1 + x} (\frac{400}{13}) = 20

2 \times lo g_{3} (x) - 23 = 17

2 lo g_{5} (x - 2) = 6

What is the answer to log_{10}(x+13)=log_{10}(x)+log_{10}(13) ?
The answer to log_{10}(x+13)=log_{10}(x)+log_{10}(13) is x= 13/12
Solve for x: log_{10}(x+13)=log_{10}(x)+log_{10}(13)
The solution is x= 13/12